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Finding the Third Proportional to 687,102 and 1,027,494

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Solution

The third proportional to 687,102 and 1,027,494 is: 1,536,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,102 : 1,027,494 = 1,027,494 : x
  2. Step 2: Convert to fraction form
    687,102/1,027,494 = 1,027,494/x
  3. Step 3: Cross multiply
    687,102x = 1,027,494 × 1,027,494
  4. Step 4: Simplify right side
    687,102x = 1,055,743,920,036
  5. Step 5: Solve for x
    x = 1,055,743,920,036/687,102
  6. Step 6: Final answer
    x = 1,536,517.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.