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Finding the Third Proportional to 526,990 and 1,171,876

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Solution

The third proportional to 526,990 and 1,171,876 is: 2,605,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,990 : 1,171,876 = 1,171,876 : x
  2. Step 2: Convert to fraction form
    526,990/1,171,876 = 1,171,876/x
  3. Step 3: Cross multiply
    526,990x = 1,171,876 × 1,171,876
  4. Step 4: Simplify right side
    526,990x = 1,373,293,359,376
  5. Step 5: Solve for x
    x = 1,373,293,359,376/526,990
  6. Step 6: Final answer
    x = 2,605,919.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.