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Finding the Third Proportional to 687,070 and 903,493

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Solution

The third proportional to 687,070 and 903,493 is: 1,188,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,070 : 903,493 = 903,493 : x
  2. Step 2: Convert to fraction form
    687,070/903,493 = 903,493/x
  3. Step 3: Cross multiply
    687,070x = 903,493 × 903,493
  4. Step 4: Simplify right side
    687,070x = 816,299,601,049
  5. Step 5: Solve for x
    x = 816,299,601,049/687,070
  6. Step 6: Final answer
    x = 1,188,087.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.