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Finding the Third Proportional to 519,198 and 1,115,958

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Solution

The third proportional to 519,198 and 1,115,958 is: 2,398,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,198 : 1,115,958 = 1,115,958 : x
  2. Step 2: Convert to fraction form
    519,198/1,115,958 = 1,115,958/x
  3. Step 3: Cross multiply
    519,198x = 1,115,958 × 1,115,958
  4. Step 4: Simplify right side
    519,198x = 1,245,362,257,764
  5. Step 5: Solve for x
    x = 1,245,362,257,764/519,198
  6. Step 6: Final answer
    x = 2,398,626.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.