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Finding the Third Proportional to 724,881 and 1,569,227

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Solution

The third proportional to 724,881 and 1,569,227 is: 3,397,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,881 : 1,569,227 = 1,569,227 : x
  2. Step 2: Convert to fraction form
    724,881/1,569,227 = 1,569,227/x
  3. Step 3: Cross multiply
    724,881x = 1,569,227 × 1,569,227
  4. Step 4: Simplify right side
    724,881x = 2,462,473,377,529
  5. Step 5: Solve for x
    x = 2,462,473,377,529/724,881
  6. Step 6: Final answer
    x = 3,397,072.59

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Why These Related Problems?

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