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Finding the Third Proportional to 445,049 and 980,860

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Solution

The third proportional to 445,049 and 980,860 is: 2,161,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,049 : 980,860 = 980,860 : x
  2. Step 2: Convert to fraction form
    445,049/980,860 = 980,860/x
  3. Step 3: Cross multiply
    445,049x = 980,860 × 980,860
  4. Step 4: Simplify right side
    445,049x = 962,086,339,600
  5. Step 5: Solve for x
    x = 962,086,339,600/445,049
  6. Step 6: Final answer
    x = 2,161,753.74

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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.