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Finding the Third Proportional to 3,840,800 and 8,276,456

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Solution

The third proportional to 3,840,800 and 8,276,456 is: 17,834,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,800 : 8,276,456 = 8,276,456 : x
  2. Step 2: Convert to fraction form
    3,840,800/8,276,456 = 8,276,456/x
  3. Step 3: Cross multiply
    3,840,800x = 8,276,456 × 8,276,456
  4. Step 4: Simplify right side
    3,840,800x = 68,499,723,919,936
  5. Step 5: Solve for x
    x = 68,499,723,919,936/3,840,800
  6. Step 6: Final answer
    x = 17,834,754.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.