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Finding the Third Proportional to 1,770 and 2,286

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Solution

The third proportional to 1,770 and 2,286 is: 2,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 2,286 = 2,286 : x
  2. Step 2: Convert to fraction form
    1,770/2,286 = 2,286/x
  3. Step 3: Cross multiply
    1,770x = 2,286 × 2,286
  4. Step 4: Simplify right side
    1,770x = 5,225,796
  5. Step 5: Solve for x
    x = 5,225,796/1,770
  6. Step 6: Final answer
    x = 2,952.43

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.