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dougal,
1- You are correct, parallel would increase runtime
2- You SHOULDN'T try to connect the 3rd battery in parallel, that's a mismatch. Once 2 batteries are connected, then it's at 2.4v. You should ONLY match like batteries...So putting a 1.2v in parallel would be a BAD IDEA.
If you were to take 4 batteries, connect each pair in series for 2 sets of 2.4v and THEN connect in parallel...that's okay.
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