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Finding the Third Proportional to 2,337,759 and 3,497,227

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Solution

The third proportional to 2,337,759 and 3,497,227 is: 5,231,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,759 : 3,497,227 = 3,497,227 : x
  2. Step 2: Convert to fraction form
    2,337,759/3,497,227 = 3,497,227/x
  3. Step 3: Cross multiply
    2,337,759x = 3,497,227 × 3,497,227
  4. Step 4: Simplify right side
    2,337,759x = 12,230,596,689,529
  5. Step 5: Solve for x
    x = 12,230,596,689,529/2,337,759
  6. Step 6: Final answer
    x = 5,231,761.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.