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Finding the Third Proportional to 498,626 and 1,096,972

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Solution

The third proportional to 498,626 and 1,096,972 is: 2,413,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,626 : 1,096,972 = 1,096,972 : x
  2. Step 2: Convert to fraction form
    498,626/1,096,972 = 1,096,972/x
  3. Step 3: Cross multiply
    498,626x = 1,096,972 × 1,096,972
  4. Step 4: Simplify right side
    498,626x = 1,203,347,568,784
  5. Step 5: Solve for x
    x = 1,203,347,568,784/498,626
  6. Step 6: Final answer
    x = 2,413,326.96

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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.