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Finding the Third Proportional to 627,471 and 969,549

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Solution

The third proportional to 627,471 and 969,549 is: 1,498,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,471 : 969,549 = 969,549 : x
  2. Step 2: Convert to fraction form
    627,471/969,549 = 969,549/x
  3. Step 3: Cross multiply
    627,471x = 969,549 × 969,549
  4. Step 4: Simplify right side
    627,471x = 940,025,263,401
  5. Step 5: Solve for x
    x = 940,025,263,401/627,471
  6. Step 6: Final answer
    x = 1,498,117.46

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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.