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Finding the Third Proportional to 645,755.63 and 1,409,533.88

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Solution

The third proportional to 645,755.63 and 1,409,533.88 is: 3,076,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,755.63 : 1,409,533.88 = 1,409,533.88 : x
  2. Step 2: Convert to fraction form
    645,755.63/1,409,533.88 = 1,409,533.88/x
  3. Step 3: Cross multiply
    645,755.63x = 1,409,533.88 × 1,409,533.88
  4. Step 4: Simplify right side
    645,755.63x = 1,986,785,744,772.52
  5. Step 5: Solve for x
    x = 1,986,785,744,772.52/645,755.63
  6. Step 6: Final answer
    x = 3,076,683.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.