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Finding the Third Proportional to 399,920 and 869,824

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Solution

The third proportional to 399,920 and 869,824 is: 1,891,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,920 : 869,824 = 869,824 : x
  2. Step 2: Convert to fraction form
    399,920/869,824 = 869,824/x
  3. Step 3: Cross multiply
    399,920x = 869,824 × 869,824
  4. Step 4: Simplify right side
    399,920x = 756,593,790,976
  5. Step 5: Solve for x
    x = 756,593,790,976/399,920
  6. Step 6: Final answer
    x = 1,891,862.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.