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Finding the Third Proportional to 414,042 and 887,103

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Solution

The third proportional to 414,042 and 887,103 is: 1,900,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,042 : 887,103 = 887,103 : x
  2. Step 2: Convert to fraction form
    414,042/887,103 = 887,103/x
  3. Step 3: Cross multiply
    414,042x = 887,103 × 887,103
  4. Step 4: Simplify right side
    414,042x = 786,951,732,609
  5. Step 5: Solve for x
    x = 786,951,732,609/414,042
  6. Step 6: Final answer
    x = 1,900,656.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.