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Finding the Third Proportional to 642,408.50 and 1,383,481

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Solution

The third proportional to 642,408.50 and 1,383,481 is: 2,979,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,408.50 : 1,383,481 = 1,383,481 : x
  2. Step 2: Convert to fraction form
    642,408.50/1,383,481 = 1,383,481/x
  3. Step 3: Cross multiply
    642,408.50x = 1,383,481 × 1,383,481
  4. Step 4: Simplify right side
    642,408.50x = 1,914,019,677,361
  5. Step 5: Solve for x
    x = 1,914,019,677,361/642,408.50
  6. Step 6: Final answer
    x = 2,979,443.26

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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.