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Finding the Third Proportional to 701,596 and 1,543,160

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Solution

The third proportional to 701,596 and 1,543,160 is: 3,394,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,596 : 1,543,160 = 1,543,160 : x
  2. Step 2: Convert to fraction form
    701,596/1,543,160 = 1,543,160/x
  3. Step 3: Cross multiply
    701,596x = 1,543,160 × 1,543,160
  4. Step 4: Simplify right side
    701,596x = 2,381,342,785,600
  5. Step 5: Solve for x
    x = 2,381,342,785,600/701,596
  6. Step 6: Final answer
    x = 3,394,179.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.