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Finding the Third Proportional to 1,261,338 and 2,757,414

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Solution

The third proportional to 1,261,338 and 2,757,414 is: 6,027,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,338 : 2,757,414 = 2,757,414 : x
  2. Step 2: Convert to fraction form
    1,261,338/2,757,414 = 2,757,414/x
  3. Step 3: Cross multiply
    1,261,338x = 2,757,414 × 2,757,414
  4. Step 4: Simplify right side
    1,261,338x = 7,603,331,967,396
  5. Step 5: Solve for x
    x = 7,603,331,967,396/1,261,338
  6. Step 6: Final answer
    x = 6,027,989.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.