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Finding the Third Proportional to 629,923 and 969,542

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Solution

The third proportional to 629,923 and 969,542 is: 1,492,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,923 : 969,542 = 969,542 : x
  2. Step 2: Convert to fraction form
    629,923/969,542 = 969,542/x
  3. Step 3: Cross multiply
    629,923x = 969,542 × 969,542
  4. Step 4: Simplify right side
    629,923x = 940,011,689,764
  5. Step 5: Solve for x
    x = 940,011,689,764/629,923
  6. Step 6: Final answer
    x = 1,492,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.