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Finding the Third Proportional to 724,942 and 1,569,353

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Solution

The third proportional to 724,942 and 1,569,353 is: 3,397,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,942 : 1,569,353 = 1,569,353 : x
  2. Step 2: Convert to fraction form
    724,942/1,569,353 = 1,569,353/x
  3. Step 3: Cross multiply
    724,942x = 1,569,353 × 1,569,353
  4. Step 4: Simplify right side
    724,942x = 2,462,868,838,609
  5. Step 5: Solve for x
    x = 2,462,868,838,609/724,942
  6. Step 6: Final answer
    x = 3,397,332.25

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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.