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Finding the Third Proportional to 442,778 and 950,059

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Solution

The third proportional to 442,778 and 950,059 is: 2,038,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,778 : 950,059 = 950,059 : x
  2. Step 2: Convert to fraction form
    442,778/950,059 = 950,059/x
  3. Step 3: Cross multiply
    442,778x = 950,059 × 950,059
  4. Step 4: Simplify right side
    442,778x = 902,612,103,481
  5. Step 5: Solve for x
    x = 902,612,103,481/442,778
  6. Step 6: Final answer
    x = 2,038,520.67

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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.