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Finding the Third Proportional to 465,666 and 1,022,775

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Solution

The third proportional to 465,666 and 1,022,775 is: 2,246,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,666 : 1,022,775 = 1,022,775 : x
  2. Step 2: Convert to fraction form
    465,666/1,022,775 = 1,022,775/x
  3. Step 3: Cross multiply
    465,666x = 1,022,775 × 1,022,775
  4. Step 4: Simplify right side
    465,666x = 1,046,068,700,625
  5. Step 5: Solve for x
    x = 1,046,068,700,625/465,666
  6. Step 6: Final answer
    x = 2,246,392.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.