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Finding the Third Proportional to 664,937 and 1,412,737

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Solution

The third proportional to 664,937 and 1,412,737 is: 3,001,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,937 : 1,412,737 = 1,412,737 : x
  2. Step 2: Convert to fraction form
    664,937/1,412,737 = 1,412,737/x
  3. Step 3: Cross multiply
    664,937x = 1,412,737 × 1,412,737
  4. Step 4: Simplify right side
    664,937x = 1,995,825,831,169
  5. Step 5: Solve for x
    x = 1,995,825,831,169/664,937
  6. Step 6: Final answer
    x = 3,001,526.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.