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Finding the Third Proportional to 715,671 and 1,543,434

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Solution

The third proportional to 715,671 and 1,543,434 is: 3,328,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,671 : 1,543,434 = 1,543,434 : x
  2. Step 2: Convert to fraction form
    715,671/1,543,434 = 1,543,434/x
  3. Step 3: Cross multiply
    715,671x = 1,543,434 × 1,543,434
  4. Step 4: Simplify right side
    715,671x = 2,382,188,512,356
  5. Step 5: Solve for x
    x = 2,382,188,512,356/715,671
  6. Step 6: Final answer
    x = 3,328,608.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.