Windows 7 - How do you "remove" run as administrator from a program

I set up a program to "RUN AS ADMINISTRATOR" by right clicking on the program .exe (and/or the program Shortcut) and checking the "run as administrator" option under the compatability tab...to see if the program would run any better.

After evaluation, I decided that the "run as administrator" option was probably not necessary for the program, so I went in and removed the checkbox....thinking that the program would no longer use the "run as administrator" option.
I was evidently wrong, or I did something wrong, because the program still shows the little "administrator" shield thingy on the icon, and it still gives me a popup verifying that I want it run as administrator.

I tried this with several different programs, and I get the same thing...when I want to remove the administrator privs, the program still pops up and asks to run as administrator.

Am I going about this the wrong way?? or am I missing something here??
I "skipped" Vista and went right to Windows 7 x64 Ultra from XP, and I have for the most part been very happy with the new OS. I am still getting a feel for it though.

Examples: I was trying to solve a problem with the game Left-4-Dead..so I took some advice from these forums and "ran as administrator". I have since solved the problem, and I would like to stop running the program as administrator.
Same thing for STEAM.

Running Windows 7 Ultimate RTM.
Rest of my specs are attached.
(I think that this is only a problem of my ignorance of the new OS and how it functions, rather than a hardware issue--- any enlightenment would be much appreciated)

-LP

Hello LP,

Some programs are programmed to "run as adminsitrator" when opened so that they will run properly whether you have it checked or not in compatibility mod. That's all.

Thanks Brink,

Appreciate the feedback/Info.

-LP

You're welcome.