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Finding the Third Proportional to 2,597,033.25 and 3,881,013.75

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Solution

The third proportional to 2,597,033.25 and 3,881,013.75 is: 5,799,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,033.25 : 3,881,013.75 = 3,881,013.75 : x
  2. Step 2: Convert to fraction form
    2,597,033.25/3,881,013.75 = 3,881,013.75/x
  3. Step 3: Cross multiply
    2,597,033.25x = 3,881,013.75 × 3,881,013.75
  4. Step 4: Simplify right side
    2,597,033.25x = 15,062,267,727,689.06
  5. Step 5: Solve for x
    x = 15,062,267,727,689.06/2,597,033.25
  6. Step 6: Final answer
    x = 5,799,797.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.