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Finding the Third Proportional to 547,638 and 1,176,234

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Solution

The third proportional to 547,638 and 1,176,234 is: 2,526,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,638 : 1,176,234 = 1,176,234 : x
  2. Step 2: Convert to fraction form
    547,638/1,176,234 = 1,176,234/x
  3. Step 3: Cross multiply
    547,638x = 1,176,234 × 1,176,234
  4. Step 4: Simplify right side
    547,638x = 1,383,526,422,756
  5. Step 5: Solve for x
    x = 1,383,526,422,756/547,638
  6. Step 6: Final answer
    x = 2,526,352.12

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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.