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Finding the Third Proportional to 442,711 and 978,451

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Solution

The third proportional to 442,711 and 978,451 is: 2,162,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,711 : 978,451 = 978,451 : x
  2. Step 2: Convert to fraction form
    442,711/978,451 = 978,451/x
  3. Step 3: Cross multiply
    442,711x = 978,451 × 978,451
  4. Step 4: Simplify right side
    442,711x = 957,366,359,401
  5. Step 5: Solve for x
    x = 957,366,359,401/442,711
  6. Step 6: Final answer
    x = 2,162,508.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.