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Finding the Third Proportional to 1,299,159.50 and 2,040,836.25

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Solution

The third proportional to 1,299,159.50 and 2,040,836.25 is: 3,205,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,159.50 : 2,040,836.25 = 2,040,836.25 : x
  2. Step 2: Convert to fraction form
    1,299,159.50/2,040,836.25 = 2,040,836.25/x
  3. Step 3: Cross multiply
    1,299,159.50x = 2,040,836.25 × 2,040,836.25
  4. Step 4: Simplify right side
    1,299,159.50x = 4,165,012,599,314.06
  5. Step 5: Solve for x
    x = 4,165,012,599,314.06/1,299,159.50
  6. Step 6: Final answer
    x = 3,205,928.60

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Why These Related Problems?

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