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Finding the Third Proportional to 443,247 and 979,806

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Solution

The third proportional to 443,247 and 979,806 is: 2,165,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,247 : 979,806 = 979,806 : x
  2. Step 2: Convert to fraction form
    443,247/979,806 = 979,806/x
  3. Step 3: Cross multiply
    443,247x = 979,806 × 979,806
  4. Step 4: Simplify right side
    443,247x = 960,019,797,636
  5. Step 5: Solve for x
    x = 960,019,797,636/443,247
  6. Step 6: Final answer
    x = 2,165,879.97

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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.