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Finding the Third Proportional to 445,932 and 980,424

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Solution

The third proportional to 445,932 and 980,424 is: 2,155,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,932 : 980,424 = 980,424 : x
  2. Step 2: Convert to fraction form
    445,932/980,424 = 980,424/x
  3. Step 3: Cross multiply
    445,932x = 980,424 × 980,424
  4. Step 4: Simplify right side
    445,932x = 961,231,219,776
  5. Step 5: Solve for x
    x = 961,231,219,776/445,932
  6. Step 6: Final answer
    x = 2,155,555.60

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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.