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Finding the Third Proportional to 484,491,076 and 1,062,780,668

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Solution

The third proportional to 484,491,076 and 1,062,780,668 is: 2,331,317,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,076 : 1,062,780,668 = 1,062,780,668 : x
  2. Step 2: Convert to fraction form
    484,491,076/1,062,780,668 = 1,062,780,668/x
  3. Step 3: Cross multiply
    484,491,076x = 1,062,780,668 × 1,062,780,668
  4. Step 4: Simplify right side
    484,491,076x = 1,129,502,748,274,526,208
  5. Step 5: Solve for x
    x = 1,129,502,748,274,526,208/484,491,076
  6. Step 6: Final answer
    x = 2,331,317,962.76

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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.