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Finding the Third Proportional to 451,022 and 979,802

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Solution

The third proportional to 451,022 and 979,802 is: 2,128,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,022 : 979,802 = 979,802 : x
  2. Step 2: Convert to fraction form
    451,022/979,802 = 979,802/x
  3. Step 3: Cross multiply
    451,022x = 979,802 × 979,802
  4. Step 4: Simplify right side
    451,022x = 960,011,959,204
  5. Step 5: Solve for x
    x = 960,011,959,204/451,022
  6. Step 6: Final answer
    x = 2,128,525.79

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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.