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Finding the Third Proportional to 629,354 and 967,922

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Solution

The third proportional to 629,354 and 967,922 is: 1,488,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,354 : 967,922 = 967,922 : x
  2. Step 2: Convert to fraction form
    629,354/967,922 = 967,922/x
  3. Step 3: Cross multiply
    629,354x = 967,922 × 967,922
  4. Step 4: Simplify right side
    629,354x = 936,872,998,084
  5. Step 5: Solve for x
    x = 936,872,998,084/629,354
  6. Step 6: Final answer
    x = 1,488,626.43

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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.