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Finding the Third Proportional to 666,209.25 and 1,465,278.75

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Solution

The third proportional to 666,209.25 and 1,465,278.75 is: 3,222,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,209.25 : 1,465,278.75 = 1,465,278.75 : x
  2. Step 2: Convert to fraction form
    666,209.25/1,465,278.75 = 1,465,278.75/x
  3. Step 3: Cross multiply
    666,209.25x = 1,465,278.75 × 1,465,278.75
  4. Step 4: Simplify right side
    666,209.25x = 2,147,041,815,201.56
  5. Step 5: Solve for x
    x = 2,147,041,815,201.56/666,209.25
  6. Step 6: Final answer
    x = 3,222,773.95

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Why These Related Problems?

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