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Finding the Third Proportional to 739,892 and 1,589,927

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Solution

The third proportional to 739,892 and 1,589,927 is: 3,416,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,892 : 1,589,927 = 1,589,927 : x
  2. Step 2: Convert to fraction form
    739,892/1,589,927 = 1,589,927/x
  3. Step 3: Cross multiply
    739,892x = 1,589,927 × 1,589,927
  4. Step 4: Simplify right side
    739,892x = 2,527,867,865,329
  5. Step 5: Solve for x
    x = 2,527,867,865,329/739,892
  6. Step 6: Final answer
    x = 3,416,536.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.