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It's possible your battery cables aren't connecting electrically to the battery. Once it starts off the jumper, the alternator is powering the system. The fan takes much of what the alternator can provide and the engine dies. Clean the terminals and battery posts with sandpaper, reconnect, and try again.
Failing that, get a voltmeter and find out where the power stops.
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Jim
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A Gnat! Quick, get a sledgehammer!
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