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Finding the Third Proportional to 2,605,940 and 3,986,408

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Solution

The third proportional to 2,605,940 and 3,986,408 is: 6,098,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,940 : 3,986,408 = 3,986,408 : x
  2. Step 2: Convert to fraction form
    2,605,940/3,986,408 = 3,986,408/x
  3. Step 3: Cross multiply
    2,605,940x = 3,986,408 × 3,986,408
  4. Step 4: Simplify right side
    2,605,940x = 15,891,448,742,464
  5. Step 5: Solve for x
    x = 15,891,448,742,464/2,605,940
  6. Step 6: Final answer
    x = 6,098,163.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.