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Finding the Third Proportional to 2,408,664 and 3,522,564

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Solution

The third proportional to 2,408,664 and 3,522,564 is: 5,151,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,664 : 3,522,564 = 3,522,564 : x
  2. Step 2: Convert to fraction form
    2,408,664/3,522,564 = 3,522,564/x
  3. Step 3: Cross multiply
    2,408,664x = 3,522,564 × 3,522,564
  4. Step 4: Simplify right side
    2,408,664x = 12,408,457,134,096
  5. Step 5: Solve for x
    x = 12,408,457,134,096/2,408,664
  6. Step 6: Final answer
    x = 5,151,593.22

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