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Finding the Third Proportional to 547,486 and 1,170,632

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Solution

The third proportional to 547,486 and 1,170,632 is: 2,503,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,486 : 1,170,632 = 1,170,632 : x
  2. Step 2: Convert to fraction form
    547,486/1,170,632 = 1,170,632/x
  3. Step 3: Cross multiply
    547,486x = 1,170,632 × 1,170,632
  4. Step 4: Simplify right side
    547,486x = 1,370,379,279,424
  5. Step 5: Solve for x
    x = 1,370,379,279,424/547,486
  6. Step 6: Final answer
    x = 2,503,039.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.