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Finding the Third Proportional to 2,690,712 and 3,932,469

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Solution

The third proportional to 2,690,712 and 3,932,469 is: 5,747,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690,712 : 3,932,469 = 3,932,469 : x
  2. Step 2: Convert to fraction form
    2,690,712/3,932,469 = 3,932,469/x
  3. Step 3: Cross multiply
    2,690,712x = 3,932,469 × 3,932,469
  4. Step 4: Simplify right side
    2,690,712x = 15,464,312,435,961
  5. Step 5: Solve for x
    x = 15,464,312,435,961/2,690,712
  6. Step 6: Final answer
    x = 5,747,293.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.