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Finding the Third Proportional to 2,160,432 and 4,727,472

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Solution

The third proportional to 2,160,432 and 4,727,472 is: 10,344,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,432 : 4,727,472 = 4,727,472 : x
  2. Step 2: Convert to fraction form
    2,160,432/4,727,472 = 4,727,472/x
  3. Step 3: Cross multiply
    2,160,432x = 4,727,472 × 4,727,472
  4. Step 4: Simplify right side
    2,160,432x = 22,348,991,510,784
  5. Step 5: Solve for x
    x = 22,348,991,510,784/2,160,432
  6. Step 6: Final answer
    x = 10,344,686.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.