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Finding the Third Proportional to 547,161 and 874,098

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Solution

The third proportional to 547,161 and 874,098 is: 1,396,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,161 : 874,098 = 874,098 : x
  2. Step 2: Convert to fraction form
    547,161/874,098 = 874,098/x
  3. Step 3: Cross multiply
    547,161x = 874,098 × 874,098
  4. Step 4: Simplify right side
    547,161x = 764,047,313,604
  5. Step 5: Solve for x
    x = 764,047,313,604/547,161
  6. Step 6: Final answer
    x = 1,396,384.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.