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Finding the Third Proportional to 579,876 and 1,199,530

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Solution

The third proportional to 579,876 and 1,199,530 is: 2,481,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,876 : 1,199,530 = 1,199,530 : x
  2. Step 2: Convert to fraction form
    579,876/1,199,530 = 1,199,530/x
  3. Step 3: Cross multiply
    579,876x = 1,199,530 × 1,199,530
  4. Step 4: Simplify right side
    579,876x = 1,438,872,220,900
  5. Step 5: Solve for x
    x = 1,438,872,220,900/579,876
  6. Step 6: Final answer
    x = 2,481,344.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.