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Finding the Third Proportional to 834,849 and 944,199

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Solution

The third proportional to 834,849 and 944,199 is: 1,067,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,849 : 944,199 = 944,199 : x
  2. Step 2: Convert to fraction form
    834,849/944,199 = 944,199/x
  3. Step 3: Cross multiply
    834,849x = 944,199 × 944,199
  4. Step 4: Simplify right side
    834,849x = 891,511,751,601
  5. Step 5: Solve for x
    x = 891,511,751,601/834,849
  6. Step 6: Final answer
    x = 1,067,871.86

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.