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Finding the Third Proportional to 669,296.25 and 1,471,452.75

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Solution

The third proportional to 669,296.25 and 1,471,452.75 is: 3,234,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,296.25 : 1,471,452.75 = 1,471,452.75 : x
  2. Step 2: Convert to fraction form
    669,296.25/1,471,452.75 = 1,471,452.75/x
  3. Step 3: Cross multiply
    669,296.25x = 1,471,452.75 × 1,471,452.75
  4. Step 4: Simplify right side
    669,296.25x = 2,165,173,195,482.56
  5. Step 5: Solve for x
    x = 2,165,173,195,482.56/669,296.25
  6. Step 6: Final answer
    x = 3,234,999.74

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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.