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Finding the Third Proportional to 399,920 and 944,069

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Solution

The third proportional to 399,920 and 944,069 is: 2,228,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,920 : 944,069 = 944,069 : x
  2. Step 2: Convert to fraction form
    399,920/944,069 = 944,069/x
  3. Step 3: Cross multiply
    399,920x = 944,069 × 944,069
  4. Step 4: Simplify right side
    399,920x = 891,266,276,761
  5. Step 5: Solve for x
    x = 891,266,276,761/399,920
  6. Step 6: Final answer
    x = 2,228,611.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.