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Finding the Third Proportional to 461,637 and 695,493

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Solution

The third proportional to 461,637 and 695,493 is: 1,047,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,637 : 695,493 = 695,493 : x
  2. Step 2: Convert to fraction form
    461,637/695,493 = 695,493/x
  3. Step 3: Cross multiply
    461,637x = 695,493 × 695,493
  4. Step 4: Simplify right side
    461,637x = 483,710,513,049
  5. Step 5: Solve for x
    x = 483,710,513,049/461,637
  6. Step 6: Final answer
    x = 1,047,815.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.