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Finding the Third Proportional to 701,724 and 1,543,416

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Solution

The third proportional to 701,724 and 1,543,416 is: 3,394,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,724 : 1,543,416 = 1,543,416 : x
  2. Step 2: Convert to fraction form
    701,724/1,543,416 = 1,543,416/x
  3. Step 3: Cross multiply
    701,724x = 1,543,416 × 1,543,416
  4. Step 4: Simplify right side
    701,724x = 2,382,132,949,056
  5. Step 5: Solve for x
    x = 2,382,132,949,056/701,724
  6. Step 6: Final answer
    x = 3,394,686.44

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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.