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Finding the Third Proportional to 438,055 and 950,467

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Solution

The third proportional to 438,055 and 950,467 is: 2,062,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,055 : 950,467 = 950,467 : x
  2. Step 2: Convert to fraction form
    438,055/950,467 = 950,467/x
  3. Step 3: Cross multiply
    438,055x = 950,467 × 950,467
  4. Step 4: Simplify right side
    438,055x = 903,387,518,089
  5. Step 5: Solve for x
    x = 903,387,518,089/438,055
  6. Step 6: Final answer
    x = 2,062,269.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.