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Finding the Third Proportional to 1,260,069.26 and 2,765,082.48

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Solution

The third proportional to 1,260,069.26 and 2,765,082.48 is: 6,067,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,069.26 : 2,765,082.48 = 2,765,082.48 : x
  2. Step 2: Convert to fraction form
    1,260,069.26/2,765,082.48 = 2,765,082.48/x
  3. Step 3: Cross multiply
    1,260,069.26x = 2,765,082.48 × 2,765,082.48
  4. Step 4: Simplify right side
    1,260,069.26x = 7,645,681,123,795.49
  5. Step 5: Solve for x
    x = 7,645,681,123,795.49/1,260,069.26
  6. Step 6: Final answer
    x = 6,067,667.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.