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Finding the Third Proportional to 669,416 and 1,471,510

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Solution

The third proportional to 669,416 and 1,471,510 is: 3,234,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,416 : 1,471,510 = 1,471,510 : x
  2. Step 2: Convert to fraction form
    669,416/1,471,510 = 1,471,510/x
  3. Step 3: Cross multiply
    669,416x = 1,471,510 × 1,471,510
  4. Step 4: Simplify right side
    669,416x = 2,165,341,680,100
  5. Step 5: Solve for x
    x = 2,165,341,680,100/669,416
  6. Step 6: Final answer
    x = 3,234,672.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.