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Finding the Third Proportional to 484,491,097 and 1,062,780,716

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Solution

The third proportional to 484,491,097 and 1,062,780,716 is: 2,331,318,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,097 : 1,062,780,716 = 1,062,780,716 : x
  2. Step 2: Convert to fraction form
    484,491,097/1,062,780,716 = 1,062,780,716/x
  3. Step 3: Cross multiply
    484,491,097x = 1,062,780,716 × 1,062,780,716
  4. Step 4: Simplify right side
    484,491,097x = 1,129,502,850,301,472,640
  5. Step 5: Solve for x
    x = 1,129,502,850,301,472,640/484,491,097
  6. Step 6: Final answer
    x = 2,331,318,072.29

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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.