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Finding the Third Proportional to 2,408,600 and 3,522,463

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Solution

The third proportional to 2,408,600 and 3,522,463 is: 5,151,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,600 : 3,522,463 = 3,522,463 : x
  2. Step 2: Convert to fraction form
    2,408,600/3,522,463 = 3,522,463/x
  3. Step 3: Cross multiply
    2,408,600x = 3,522,463 × 3,522,463
  4. Step 4: Simplify right side
    2,408,600x = 12,407,745,586,369
  5. Step 5: Solve for x
    x = 12,407,745,586,369/2,408,600
  6. Step 6: Final answer
    x = 5,151,434.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.