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Finding the Third Proportional to 442,782 and 950,068

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Solution

The third proportional to 442,782 and 950,068 is: 2,038,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,782 : 950,068 = 950,068 : x
  2. Step 2: Convert to fraction form
    442,782/950,068 = 950,068/x
  3. Step 3: Cross multiply
    442,782x = 950,068 × 950,068
  4. Step 4: Simplify right side
    442,782x = 902,629,204,624
  5. Step 5: Solve for x
    x = 902,629,204,624/442,782
  6. Step 6: Final answer
    x = 2,038,540.87

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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.