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Finding the Third Proportional to 1,511,878 and 2,274,649

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Solution

The third proportional to 1,511,878 and 2,274,649 is: 3,422,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,878 : 2,274,649 = 2,274,649 : x
  2. Step 2: Convert to fraction form
    1,511,878/2,274,649 = 2,274,649/x
  3. Step 3: Cross multiply
    1,511,878x = 2,274,649 × 2,274,649
  4. Step 4: Simplify right side
    1,511,878x = 5,174,028,073,201
  5. Step 5: Solve for x
    x = 5,174,028,073,201/1,511,878
  6. Step 6: Final answer
    x = 3,422,252.37

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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.