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Finding the Third Proportional to 469,432 and 1,013,702

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Solution

The third proportional to 469,432 and 1,013,702 is: 2,189,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,432 : 1,013,702 = 1,013,702 : x
  2. Step 2: Convert to fraction form
    469,432/1,013,702 = 1,013,702/x
  3. Step 3: Cross multiply
    469,432x = 1,013,702 × 1,013,702
  4. Step 4: Simplify right side
    469,432x = 1,027,591,744,804
  5. Step 5: Solve for x
    x = 1,027,591,744,804/469,432
  6. Step 6: Final answer
    x = 2,189,010.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.