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Finding the Third Proportional to 2,019,832 and 3,022,912

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Solution

The third proportional to 2,019,832 and 3,022,912 is: 4,524,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,832 : 3,022,912 = 3,022,912 : x
  2. Step 2: Convert to fraction form
    2,019,832/3,022,912 = 3,022,912/x
  3. Step 3: Cross multiply
    2,019,832x = 3,022,912 × 3,022,912
  4. Step 4: Simplify right side
    2,019,832x = 9,137,996,959,744
  5. Step 5: Solve for x
    x = 9,137,996,959,744/2,019,832
  6. Step 6: Final answer
    x = 4,524,137.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.