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A projection is a forecast
A budget is a plan
Feasibility is completely different – if something is feasible it means it is possible.
But I wrote above that a projection is a forecast – they mean the same.
A projection is a forecast based on the past (for example is sales had increased by 10000 every year in the past, then you might forecast that they would increase by 10000 next year as well).
However your forecast could be affected by other things such as how well or badly you think the economy might perform next year.
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