This is a question for others but normally the minimum specs are there for a reason. The fact that the game loaded ok is not very meaningful as it does not require many resources to load. There are some good hardware and gaming people on Free PC Help and you will just have to be patient and wait on their advice.
Off hand though I would say that the difference between a 3Gig cpu and a 2.4 is significant.
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"Familiarity breeds contempt - and children."
Mark Twain
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