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Finding the Third Proportional to 609,849 and 1,337,472

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Solution

The third proportional to 609,849 and 1,337,472 is: 2,933,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,849 : 1,337,472 = 1,337,472 : x
  2. Step 2: Convert to fraction form
    609,849/1,337,472 = 1,337,472/x
  3. Step 3: Cross multiply
    609,849x = 1,337,472 × 1,337,472
  4. Step 4: Simplify right side
    609,849x = 1,788,831,350,784
  5. Step 5: Solve for x
    x = 1,788,831,350,784/609,849
  6. Step 6: Final answer
    x = 2,933,236.51

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Why These Related Problems?

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