A recipe for a cake requires 3/4 cup of sugar, 1/2 cup of butter, and 2/3 cup of milk. If you want to make a batch that is 1.5 times larger than the original recipe, how much of each ingredient will you need? Additionally, if you only have 1 cup of sugar, how many batches of the cake can you make? Let's think step by step and output the final answer within \boxed{}.
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