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Finding the Third Proportional to 625,920 and 941,868

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Solution

The third proportional to 625,920 and 941,868 is: 1,417,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,920 : 941,868 = 941,868 : x
  2. Step 2: Convert to fraction form
    625,920/941,868 = 941,868/x
  3. Step 3: Cross multiply
    625,920x = 941,868 × 941,868
  4. Step 4: Simplify right side
    625,920x = 887,115,329,424
  5. Step 5: Solve for x
    x = 887,115,329,424/625,920
  6. Step 6: Final answer
    x = 1,417,298.26

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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.