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Finding the Third Proportional to 732,432 and 1,543,608

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Solution

The third proportional to 732,432 and 1,543,608 is: 3,253,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,432 : 1,543,608 = 1,543,608 : x
  2. Step 2: Convert to fraction form
    732,432/1,543,608 = 1,543,608/x
  3. Step 3: Cross multiply
    732,432x = 1,543,608 × 1,543,608
  4. Step 4: Simplify right side
    732,432x = 2,382,725,657,664
  5. Step 5: Solve for x
    x = 2,382,725,657,664/732,432
  6. Step 6: Final answer
    x = 3,253,169.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.