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Finding the Third Proportional to 547,194 and 874,170

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Solution

The third proportional to 547,194 and 874,170 is: 1,396,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,194 : 874,170 = 874,170 : x
  2. Step 2: Convert to fraction form
    547,194/874,170 = 874,170/x
  3. Step 3: Cross multiply
    547,194x = 874,170 × 874,170
  4. Step 4: Simplify right side
    547,194x = 764,173,188,900
  5. Step 5: Solve for x
    x = 764,173,188,900/547,194
  6. Step 6: Final answer
    x = 1,396,530.64

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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.