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Finding the Third Proportional to 726,147 and 1,065,891

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Solution

The third proportional to 726,147 and 1,065,891 is: 1,564,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,147 : 1,065,891 = 1,065,891 : x
  2. Step 2: Convert to fraction form
    726,147/1,065,891 = 1,065,891/x
  3. Step 3: Cross multiply
    726,147x = 1,065,891 × 1,065,891
  4. Step 4: Simplify right side
    726,147x = 1,136,123,623,881
  5. Step 5: Solve for x
    x = 1,136,123,623,881/726,147
  6. Step 6: Final answer
    x = 1,564,591.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.