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Finding the Third Proportional to 701,576 and 1,543,120

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Solution

The third proportional to 701,576 and 1,543,120 is: 3,394,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,576 : 1,543,120 = 1,543,120 : x
  2. Step 2: Convert to fraction form
    701,576/1,543,120 = 1,543,120/x
  3. Step 3: Cross multiply
    701,576x = 1,543,120 × 1,543,120
  4. Step 4: Simplify right side
    701,576x = 2,381,219,334,400
  5. Step 5: Solve for x
    x = 2,381,219,334,400/701,576
  6. Step 6: Final answer
    x = 3,394,100.33

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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.