The only part of your answer I would tweak is this:
since the forward reaction is favoured.
The equilibrium does shift to the right. But not so much because the forward reaction is more favored. It shifts to the right because you've disrupted the equilibrium. The system seeks to restore the equilibrium, thus more of the reactant converts to product. When the newly formed product is subsequently removed, the equilibrium is disrupted again. The system again seeks to restore equilibrium... repeat.
The forward reaction could theoretically be severely disfavored and Le Chatelier's principle will still drive the reaction to the right. The equilibrium could favor the left side 1000:1. 1000 molecules of NO
2 could exist for every one molecule of N
2. But once that 1 molecule of N
2 is removed, the equilibrium disruption causes another 2 molecules of NO
2 to decompose. Now the equilibrium is something like 998:1. This will continue until all of the reactant is used up.
In fact, this principle is often used to drive unfavorable reactions to completion.
http://en.wikipedia.org/wiki/Le_Chatelier%27s_Principle