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Finding the Third Proportional to 1,143,198 and 2,438,226

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Solution

The third proportional to 1,143,198 and 2,438,226 is: 5,200,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,198 : 2,438,226 = 2,438,226 : x
  2. Step 2: Convert to fraction form
    1,143,198/2,438,226 = 2,438,226/x
  3. Step 3: Cross multiply
    1,143,198x = 2,438,226 × 2,438,226
  4. Step 4: Simplify right side
    1,143,198x = 5,944,946,027,076
  5. Step 5: Solve for x
    x = 5,944,946,027,076/1,143,198
  6. Step 6: Final answer
    x = 5,200,276.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.