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Finding the Third Proportional to 834 and 1,860

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Solution

The third proportional to 834 and 1,860 is: 4,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,860 = 1,860 : x
  2. Step 2: Convert to fraction form
    834/1,860 = 1,860/x
  3. Step 3: Cross multiply
    834x = 1,860 × 1,860
  4. Step 4: Simplify right side
    834x = 3,459,600
  5. Step 5: Solve for x
    x = 3,459,600/834
  6. Step 6: Final answer
    x = 4,148.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.