Hi! Everyone,
I will be using this post for reference:
Problem while installing Java
Two days ago I received a notice from Secuna PSI that there was a new version of JRE out (6.24), and that I should upgrade.
I allowed PSI to handle the upgrade, the first thing that happens is an installer package downloads and you are supposed to run that which in turn will download, and install the update.
In my error I downloaded the x64 version, everything ran fine and I had the 6.24 x64 version installed, but later found that the user only needs that version if he/she is running x64 browsers.
I un-installed that version and went on to get the x32 version.
The installer would not run, I even downloaded directly from the Sun/Oracle site it still would not run, Oh I was getting messages, but not like Zaty Pak's third pix, Error 1772 Java Setup in the referenced post.
Mine were this:

After several tries even these stopped responding.
I checked the properties, and found the installer program was blocked so I un-blocked it. Still would not run.
So I thought I would try to just run the program (6.24 x32). I had to un-blocked this also, and no matter how I tried; I was already in my Admin account, and told the program to run as admin it would not install.
I was getting the same message, but if you notice the listed program is different.

Roadrunner's suggestion of ignoring the message didn't work for me.
I went back to ZP's OP, and followed Ezio's instructions, ran the JavaRa. Odd thing about the report, the date says June of last year when I ran it yesterday 02-22-11, but it did wipe all of Java from the system.
Did not find any extra Folder or files, but I also could not find the file Ezio pointed to (jre-6u24-windows-i586-p.exe) and used this one instead. (jre-6u24-windows-i586-s.exe)
All the newly downloaded files gave me the same Compatibility errors.
What I ended up doing was finding the installer Folder, then File in Windows Explorer, and directly clicking on that.
Several minutes later I had the new JRE 6.24 listed in Programs and Features, and verified by the Sun/Oracle site.