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Finding the Third Proportional to 625,854 and 941,698

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Solution

The third proportional to 625,854 and 941,698 is: 1,416,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,854 : 941,698 = 941,698 : x
  2. Step 2: Convert to fraction form
    625,854/941,698 = 941,698/x
  3. Step 3: Cross multiply
    625,854x = 941,698 × 941,698
  4. Step 4: Simplify right side
    625,854x = 886,795,123,204
  5. Step 5: Solve for x
    x = 886,795,123,204/625,854
  6. Step 6: Final answer
    x = 1,416,936.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.