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Finding the Third Proportional to 610,916 and 1,342,027

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Solution

The third proportional to 610,916 and 1,342,027 is: 2,948,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,916 : 1,342,027 = 1,342,027 : x
  2. Step 2: Convert to fraction form
    610,916/1,342,027 = 1,342,027/x
  3. Step 3: Cross multiply
    610,916x = 1,342,027 × 1,342,027
  4. Step 4: Simplify right side
    610,916x = 1,801,036,468,729
  5. Step 5: Solve for x
    x = 1,801,036,468,729/610,916
  6. Step 6: Final answer
    x = 2,948,091.83

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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.