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Finding the Third Proportional to 1,785,185.25 and 2,719,608

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Solution

The third proportional to 1,785,185.25 and 2,719,608 is: 4,143,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,185.25 : 2,719,608 = 2,719,608 : x
  2. Step 2: Convert to fraction form
    1,785,185.25/2,719,608 = 2,719,608/x
  3. Step 3: Cross multiply
    1,785,185.25x = 2,719,608 × 2,719,608
  4. Step 4: Simplify right side
    1,785,185.25x = 7,396,267,673,664
  5. Step 5: Solve for x
    x = 7,396,267,673,664/1,785,185.25
  6. Step 6: Final answer
    x = 4,143,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.