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Finding the Third Proportional to 1,698 and 2,286

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Solution

The third proportional to 1,698 and 2,286 is: 3,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,286 = 2,286 : x
  2. Step 2: Convert to fraction form
    1,698/2,286 = 2,286/x
  3. Step 3: Cross multiply
    1,698x = 2,286 × 2,286
  4. Step 4: Simplify right side
    1,698x = 5,225,796
  5. Step 5: Solve for x
    x = 5,225,796/1,698
  6. Step 6: Final answer
    x = 3,077.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.