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Finding the Third Proportional to 2,477,408 and 3,670,064

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Solution

The third proportional to 2,477,408 and 3,670,064 is: 5,436,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,408 : 3,670,064 = 3,670,064 : x
  2. Step 2: Convert to fraction form
    2,477,408/3,670,064 = 3,670,064/x
  3. Step 3: Cross multiply
    2,477,408x = 3,670,064 × 3,670,064
  4. Step 4: Simplify right side
    2,477,408x = 13,469,369,764,096
  5. Step 5: Solve for x
    x = 13,469,369,764,096/2,477,408
  6. Step 6: Final answer
    x = 5,436,879.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.