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Finding the Third Proportional to 447,864 and 984,288

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Solution

The third proportional to 447,864 and 984,288 is: 2,163,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864 : 984,288 = 984,288 : x
  2. Step 2: Convert to fraction form
    447,864/984,288 = 984,288/x
  3. Step 3: Cross multiply
    447,864x = 984,288 × 984,288
  4. Step 4: Simplify right side
    447,864x = 968,822,866,944
  5. Step 5: Solve for x
    x = 968,822,866,944/447,864
  6. Step 6: Final answer
    x = 2,163,207.73

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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.