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Finding the Third Proportional to 447,035 and 969,759

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Solution

The third proportional to 447,035 and 969,759 is: 2,103,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,035 : 969,759 = 969,759 : x
  2. Step 2: Convert to fraction form
    447,035/969,759 = 969,759/x
  3. Step 3: Cross multiply
    447,035x = 969,759 × 969,759
  4. Step 4: Simplify right side
    447,035x = 940,432,518,081
  5. Step 5: Solve for x
    x = 940,432,518,081/447,035
  6. Step 6: Final answer
    x = 2,103,711.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.