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Finding the Third Proportional to 1,268,638.88 and 2,082,661.88

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Solution

The third proportional to 1,268,638.88 and 2,082,661.88 is: 3,419,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,638.88 : 2,082,661.88 = 2,082,661.88 : x
  2. Step 2: Convert to fraction form
    1,268,638.88/2,082,661.88 = 2,082,661.88/x
  3. Step 3: Cross multiply
    1,268,638.88x = 2,082,661.88 × 2,082,661.88
  4. Step 4: Simplify right side
    1,268,638.88x = 4,337,480,485,578.52
  5. Step 5: Solve for x
    x = 4,337,480,485,578.52/1,268,638.88
  6. Step 6: Final answer
    x = 3,419,003.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.