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Finding the Third Proportional to 735,876 and 1,589,868

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Solution

The third proportional to 735,876 and 1,589,868 is: 3,434,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,876 : 1,589,868 = 1,589,868 : x
  2. Step 2: Convert to fraction form
    735,876/1,589,868 = 1,589,868/x
  3. Step 3: Cross multiply
    735,876x = 1,589,868 × 1,589,868
  4. Step 4: Simplify right side
    735,876x = 2,527,680,257,424
  5. Step 5: Solve for x
    x = 2,527,680,257,424/735,876
  6. Step 6: Final answer
    x = 3,434,926.89

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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.