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Finding the Third Proportional to 498,691 and 1,097,012

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Solution

The third proportional to 498,691 and 1,097,012 is: 2,413,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,691 : 1,097,012 = 1,097,012 : x
  2. Step 2: Convert to fraction form
    498,691/1,097,012 = 1,097,012/x
  3. Step 3: Cross multiply
    498,691x = 1,097,012 × 1,097,012
  4. Step 4: Simplify right side
    498,691x = 1,203,435,328,144
  5. Step 5: Solve for x
    x = 1,203,435,328,144/498,691
  6. Step 6: Final answer
    x = 2,413,188.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.