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Finding the Third Proportional to 629,351 and 967,918

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Solution

The third proportional to 629,351 and 967,918 is: 1,488,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,351 : 967,918 = 967,918 : x
  2. Step 2: Convert to fraction form
    629,351/967,918 = 967,918/x
  3. Step 3: Cross multiply
    629,351x = 967,918 × 967,918
  4. Step 4: Simplify right side
    629,351x = 936,865,254,724
  5. Step 5: Solve for x
    x = 936,865,254,724/629,351
  6. Step 6: Final answer
    x = 1,488,621.22

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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.