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Finding the Third Proportional to 669,431.25 and 1,471,706.25

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Solution

The third proportional to 669,431.25 and 1,471,706.25 is: 3,235,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,431.25 : 1,471,706.25 = 1,471,706.25 : x
  2. Step 2: Convert to fraction form
    669,431.25/1,471,706.25 = 1,471,706.25/x
  3. Step 3: Cross multiply
    669,431.25x = 1,471,706.25 × 1,471,706.25
  4. Step 4: Simplify right side
    669,431.25x = 2,165,919,286,289.06
  5. Step 5: Solve for x
    x = 2,165,919,286,289.06/669,431.25
  6. Step 6: Final answer
    x = 3,235,461.87

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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.