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Finding the Third Proportional to 739,296 and 1,555,872

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Solution

The third proportional to 739,296 and 1,555,872 is: 3,274,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,296 : 1,555,872 = 1,555,872 : x
  2. Step 2: Convert to fraction form
    739,296/1,555,872 = 1,555,872/x
  3. Step 3: Cross multiply
    739,296x = 1,555,872 × 1,555,872
  4. Step 4: Simplify right side
    739,296x = 2,420,737,680,384
  5. Step 5: Solve for x
    x = 2,420,737,680,384/739,296
  6. Step 6: Final answer
    x = 3,274,382.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.