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Finding the Third Proportional to 669,429 and 1,471,701.50

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Solution

The third proportional to 669,429 and 1,471,701.50 is: 3,235,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,429 : 1,471,701.50 = 1,471,701.50 : x
  2. Step 2: Convert to fraction form
    669,429/1,471,701.50 = 1,471,701.50/x
  3. Step 3: Cross multiply
    669,429x = 1,471,701.50 × 1,471,701.50
  4. Step 4: Simplify right side
    669,429x = 2,165,905,305,102.25
  5. Step 5: Solve for x
    x = 2,165,905,305,102.25/669,429
  6. Step 6: Final answer
    x = 3,235,451.86

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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.