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Finding the Third Proportional to 634,414 and 861,193

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Solution

The third proportional to 634,414 and 861,193 is: 1,169,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,414 : 861,193 = 861,193 : x
  2. Step 2: Convert to fraction form
    634,414/861,193 = 861,193/x
  3. Step 3: Cross multiply
    634,414x = 861,193 × 861,193
  4. Step 4: Simplify right side
    634,414x = 741,653,383,249
  5. Step 5: Solve for x
    x = 741,653,383,249/634,414
  6. Step 6: Final answer
    x = 1,169,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.