Cultural Question

[http://users.livejournal.com/_christine/]

This is more of a cultural question, but I figured this is a great place to ask:

How do you say "engaged" as in "engaged to be married" (as opposed to Picard saying "Engage!" :P) My dictionary is failing me on that.

Do Russians do engagement? What about engagement and wedding rings? I was in Russia last summer and I did not notice many grown women with rings on their hands period, much less the younger ones. I figured the traditions must be different, but how are they?

Спасибо! :)