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Finding the Third Proportional to 629,355 and 967,923

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Solution

The third proportional to 629,355 and 967,923 is: 1,488,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,355 : 967,923 = 967,923 : x
  2. Step 2: Convert to fraction form
    629,355/967,923 = 967,923/x
  3. Step 3: Cross multiply
    629,355x = 967,923 × 967,923
  4. Step 4: Simplify right side
    629,355x = 936,874,933,929
  5. Step 5: Solve for x
    x = 936,874,933,929/629,355
  6. Step 6: Final answer
    x = 1,488,627.14

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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.