Log Into Multiple Gmail Accounts Using Google Chrome
Those who prefer logging into more than one gmail account at a time could have used my other method to run multiple instances of Gtalk but I guess many somehow haven’t been able to understand that simple method (the comments in that post say so).
For such users I think Google Chrome is the best way out. Although you will be able to log into multiple instances of gmail and not gtalk but I am sure you find the little chap application in the sidebar of your gmail inbox equally important like your gtalk. So if you want to run multiple instances of gtalk then prefer using chap section in your gmail inbox and run multiple instances of gmail.
But how? Remember the Incognito mode Google Chrome? That is the best way out as when you use Incognito mode then no other tab knows what is happening in the neighbouring tab. Hence, running multiple instances of gmail at a time becomes easy.

In Chrome beta, your strategy does not work.
I should point out that I can use Chrome beta for two accounts but seemingly not for three. Login goes OK but reading individual messages does not work.