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Finding the Third Proportional to 985,867 and 1,587,234

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Solution

The third proportional to 985,867 and 1,587,234 is: 2,555,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,867 : 1,587,234 = 1,587,234 : x
  2. Step 2: Convert to fraction form
    985,867/1,587,234 = 1,587,234/x
  3. Step 3: Cross multiply
    985,867x = 1,587,234 × 1,587,234
  4. Step 4: Simplify right side
    985,867x = 2,519,311,770,756
  5. Step 5: Solve for x
    x = 2,519,311,770,756/985,867
  6. Step 6: Final answer
    x = 2,555,427.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.