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Finding the Third Proportional to 2,462,016 and 3,848,544

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Solution

The third proportional to 2,462,016 and 3,848,544 is: 6,015,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,016 : 3,848,544 = 3,848,544 : x
  2. Step 2: Convert to fraction form
    2,462,016/3,848,544 = 3,848,544/x
  3. Step 3: Cross multiply
    2,462,016x = 3,848,544 × 3,848,544
  4. Step 4: Simplify right side
    2,462,016x = 14,811,290,919,936
  5. Step 5: Solve for x
    x = 14,811,290,919,936/2,462,016
  6. Step 6: Final answer
    x = 6,015,919.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.