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Finding the Third Proportional to 1,780 and 2,694

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Solution

The third proportional to 1,780 and 2,694 is: 4,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780 : 2,694 = 2,694 : x
  2. Step 2: Convert to fraction form
    1,780/2,694 = 2,694/x
  3. Step 3: Cross multiply
    1,780x = 2,694 × 2,694
  4. Step 4: Simplify right side
    1,780x = 7,257,636
  5. Step 5: Solve for x
    x = 7,257,636/1,780
  6. Step 6: Final answer
    x = 4,077.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.