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Finding the Third Proportional to 834,067.13 and 1,822,522.78

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Solution

The third proportional to 834,067.13 and 1,822,522.78 is: 3,982,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,067.13 : 1,822,522.78 = 1,822,522.78 : x
  2. Step 2: Convert to fraction form
    834,067.13/1,822,522.78 = 1,822,522.78/x
  3. Step 3: Cross multiply
    834,067.13x = 1,822,522.78 × 1,822,522.78
  4. Step 4: Simplify right side
    834,067.13x = 3,321,589,288,175.24
  5. Step 5: Solve for x
    x = 3,321,589,288,175.24/834,067.13
  6. Step 6: Final answer
    x = 3,982,400.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.