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Finding the Third Proportional to 2,005,760 and 4,177,408

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Solution

The third proportional to 2,005,760 and 4,177,408 is: 8,700,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,760 : 4,177,408 = 4,177,408 : x
  2. Step 2: Convert to fraction form
    2,005,760/4,177,408 = 4,177,408/x
  3. Step 3: Cross multiply
    2,005,760x = 4,177,408 × 4,177,408
  4. Step 4: Simplify right side
    2,005,760x = 17,450,737,598,464
  5. Step 5: Solve for x
    x = 17,450,737,598,464/2,005,760
  6. Step 6: Final answer
    x = 8,700,311.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.