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Finding the Third Proportional to 2,408,516 and 3,546,241

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Solution

The third proportional to 2,408,516 and 3,546,241 is: 5,221,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,516 : 3,546,241 = 3,546,241 : x
  2. Step 2: Convert to fraction form
    2,408,516/3,546,241 = 3,546,241/x
  3. Step 3: Cross multiply
    2,408,516x = 3,546,241 × 3,546,241
  4. Step 4: Simplify right side
    2,408,516x = 12,575,825,230,081
  5. Step 5: Solve for x
    x = 12,575,825,230,081/2,408,516
  6. Step 6: Final answer
    x = 5,221,399.91

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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.