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Finding the Third Proportional to 484,491,080 and 1,062,780,676

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Solution

The third proportional to 484,491,080 and 1,062,780,676 is: 2,331,317,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,080 : 1,062,780,676 = 1,062,780,676 : x
  2. Step 2: Convert to fraction form
    484,491,080/1,062,780,676 = 1,062,780,676/x
  3. Step 3: Cross multiply
    484,491,080x = 1,062,780,676 × 1,062,780,676
  4. Step 4: Simplify right side
    484,491,080x = 1,129,502,765,279,016,960
  5. Step 5: Solve for x
    x = 1,129,502,765,279,016,960/484,491,080
  6. Step 6: Final answer
    x = 2,331,317,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.