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Finding the Third Proportional to 2,098,188 and 3,134,324

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Solution

The third proportional to 2,098,188 and 3,134,324 is: 4,682,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,188 : 3,134,324 = 3,134,324 : x
  2. Step 2: Convert to fraction form
    2,098,188/3,134,324 = 3,134,324/x
  3. Step 3: Cross multiply
    2,098,188x = 3,134,324 × 3,134,324
  4. Step 4: Simplify right side
    2,098,188x = 9,823,986,936,976
  5. Step 5: Solve for x
    x = 9,823,986,936,976/2,098,188
  6. Step 6: Final answer
    x = 4,682,129.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.