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Finding the Third Proportional to 627,466 and 969,539

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Solution

The third proportional to 627,466 and 969,539 is: 1,498,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,466 : 969,539 = 969,539 : x
  2. Step 2: Convert to fraction form
    627,466/969,539 = 969,539/x
  3. Step 3: Cross multiply
    627,466x = 969,539 × 969,539
  4. Step 4: Simplify right side
    627,466x = 940,005,872,521
  5. Step 5: Solve for x
    x = 940,005,872,521/627,466
  6. Step 6: Final answer
    x = 1,498,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.