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Finding the Third Proportional to 442,800 and 950,103

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Solution

The third proportional to 442,800 and 950,103 is: 2,038,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,800 : 950,103 = 950,103 : x
  2. Step 2: Convert to fraction form
    442,800/950,103 = 950,103/x
  3. Step 3: Cross multiply
    442,800x = 950,103 × 950,103
  4. Step 4: Simplify right side
    442,800x = 902,695,710,609
  5. Step 5: Solve for x
    x = 902,695,710,609/442,800
  6. Step 6: Final answer
    x = 2,038,608.20

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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.