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Finding the Third Proportional to 1,247,249.25 and 2,694,082.50

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Solution

The third proportional to 1,247,249.25 and 2,694,082.50 is: 5,819,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,249.25 : 2,694,082.50 = 2,694,082.50 : x
  2. Step 2: Convert to fraction form
    1,247,249.25/2,694,082.50 = 2,694,082.50/x
  3. Step 3: Cross multiply
    1,247,249.25x = 2,694,082.50 × 2,694,082.50
  4. Step 4: Simplify right side
    1,247,249.25x = 7,258,080,516,806.25
  5. Step 5: Solve for x
    x = 7,258,080,516,806.25/1,247,249.25
  6. Step 6: Final answer
    x = 5,819,270.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.