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Finding the Third Proportional to 642,408 and 1,383,480

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Solution

The third proportional to 642,408 and 1,383,480 is: 2,979,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,408 : 1,383,480 = 1,383,480 : x
  2. Step 2: Convert to fraction form
    642,408/1,383,480 = 1,383,480/x
  3. Step 3: Cross multiply
    642,408x = 1,383,480 × 1,383,480
  4. Step 4: Simplify right side
    642,408x = 1,914,016,910,400
  5. Step 5: Solve for x
    x = 1,914,016,910,400/642,408
  6. Step 6: Final answer
    x = 2,979,441.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.