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Finding the Third Proportional to 1,746 and 2,446

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Solution

The third proportional to 1,746 and 2,446 is: 3,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 2,446 = 2,446 : x
  2. Step 2: Convert to fraction form
    1,746/2,446 = 2,446/x
  3. Step 3: Cross multiply
    1,746x = 2,446 × 2,446
  4. Step 4: Simplify right side
    1,746x = 5,982,916
  5. Step 5: Solve for x
    x = 5,982,916/1,746
  6. Step 6: Final answer
    x = 3,426.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.