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Finding the Third Proportional to 2,406 and 3,419

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Solution

The third proportional to 2,406 and 3,419 is: 4,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,419 = 3,419 : x
  2. Step 2: Convert to fraction form
    2,406/3,419 = 3,419/x
  3. Step 3: Cross multiply
    2,406x = 3,419 × 3,419
  4. Step 4: Simplify right side
    2,406x = 11,689,561
  5. Step 5: Solve for x
    x = 11,689,561/2,406
  6. Step 6: Final answer
    x = 4,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.