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Finding the Third Proportional to 739,890 and 1,589,923

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Solution

The third proportional to 739,890 and 1,589,923 is: 3,416,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,890 : 1,589,923 = 1,589,923 : x
  2. Step 2: Convert to fraction form
    739,890/1,589,923 = 1,589,923/x
  3. Step 3: Cross multiply
    739,890x = 1,589,923 × 1,589,923
  4. Step 4: Simplify right side
    739,890x = 2,527,855,145,929
  5. Step 5: Solve for x
    x = 2,527,855,145,929/739,890
  6. Step 6: Final answer
    x = 3,416,528.33

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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.