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Finding the Third Proportional to 1,478 and 3,194

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Solution

The third proportional to 1,478 and 3,194 is: 6,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478 : 3,194 = 3,194 : x
  2. Step 2: Convert to fraction form
    1,478/3,194 = 3,194/x
  3. Step 3: Cross multiply
    1,478x = 3,194 × 3,194
  4. Step 4: Simplify right side
    1,478x = 10,201,636
  5. Step 5: Solve for x
    x = 10,201,636/1,478
  6. Step 6: Final answer
    x = 6,902.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.