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Finding the Third Proportional to 420,589.97 and 912,166.31

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Solution

The third proportional to 420,589.97 and 912,166.31 is: 1,978,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,589.97 : 912,166.31 = 912,166.31 : x
  2. Step 2: Convert to fraction form
    420,589.97/912,166.31 = 912,166.31/x
  3. Step 3: Cross multiply
    420,589.97x = 912,166.31 × 912,166.31
  4. Step 4: Simplify right side
    420,589.97x = 832,047,381,659.85
  5. Step 5: Solve for x
    x = 832,047,381,659.85/420,589.97
  6. Step 6: Final answer
    x = 1,978,286.32

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