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Finding the Third Proportional to 1,299,078 and 2,040,714

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Solution

The third proportional to 1,299,078 and 2,040,714 is: 3,205,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,078 : 2,040,714 = 2,040,714 : x
  2. Step 2: Convert to fraction form
    1,299,078/2,040,714 = 2,040,714/x
  3. Step 3: Cross multiply
    1,299,078x = 2,040,714 × 2,040,714
  4. Step 4: Simplify right side
    1,299,078x = 4,164,513,629,796
  5. Step 5: Solve for x
    x = 4,164,513,629,796/1,299,078
  6. Step 6: Final answer
    x = 3,205,745.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.