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Finding the Third Proportional to 669,386 and 1,471,450

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Solution

The third proportional to 669,386 and 1,471,450 is: 3,234,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,386 : 1,471,450 = 1,471,450 : x
  2. Step 2: Convert to fraction form
    669,386/1,471,450 = 1,471,450/x
  3. Step 3: Cross multiply
    669,386x = 1,471,450 × 1,471,450
  4. Step 4: Simplify right side
    669,386x = 2,165,165,102,500
  5. Step 5: Solve for x
    x = 2,165,165,102,500/669,386
  6. Step 6: Final answer
    x = 3,234,553.91

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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.