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Finding the Third Proportional to 2,442,102 and 3,589,982

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Solution

The third proportional to 2,442,102 and 3,589,982 is: 5,277,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,102 : 3,589,982 = 3,589,982 : x
  2. Step 2: Convert to fraction form
    2,442,102/3,589,982 = 3,589,982/x
  3. Step 3: Cross multiply
    2,442,102x = 3,589,982 × 3,589,982
  4. Step 4: Simplify right side
    2,442,102x = 12,887,970,760,324
  5. Step 5: Solve for x
    x = 12,887,970,760,324/2,442,102
  6. Step 6: Final answer
    x = 5,277,408.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.