Mine worked. I deleted all files to do with RA3 -- I had done an uninstall but it didn't get rid of most of the files in the game folder for some reason, so I manually deleted that. Then I used RegSupreme Pro to clean my registry (you can get that from any number of torrents). After I did that, the install worked and I can start the game.
Additionally, if anyone's getting an error about a security module, try uninstalling any CD/DVD emulating software you have, like DaemonTools, MagicDisc, or PowerISO. That worked for me.