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Finding the Third Proportional to 442,782 and 950,067

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Solution

The third proportional to 442,782 and 950,067 is: 2,038,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,782 : 950,067 = 950,067 : x
  2. Step 2: Convert to fraction form
    442,782/950,067 = 950,067/x
  3. Step 3: Cross multiply
    442,782x = 950,067 × 950,067
  4. Step 4: Simplify right side
    442,782x = 902,627,304,489
  5. Step 5: Solve for x
    x = 902,627,304,489/442,782
  6. Step 6: Final answer
    x = 2,038,536.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.