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Finding the Third Proportional to 1,028,019 and 2,227,649

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Solution

The third proportional to 1,028,019 and 2,227,649 is: 4,827,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,019 : 2,227,649 = 2,227,649 : x
  2. Step 2: Convert to fraction form
    1,028,019/2,227,649 = 2,227,649/x
  3. Step 3: Cross multiply
    1,028,019x = 2,227,649 × 2,227,649
  4. Step 4: Simplify right side
    1,028,019x = 4,962,420,067,201
  5. Step 5: Solve for x
    x = 4,962,420,067,201/1,028,019
  6. Step 6: Final answer
    x = 4,827,167.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.