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Finding the Third Proportional to 653,832 and 1,410,876

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Solution

The third proportional to 653,832 and 1,410,876 is: 3,044,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,832 : 1,410,876 = 1,410,876 : x
  2. Step 2: Convert to fraction form
    653,832/1,410,876 = 1,410,876/x
  3. Step 3: Cross multiply
    653,832x = 1,410,876 × 1,410,876
  4. Step 4: Simplify right side
    653,832x = 1,990,571,087,376
  5. Step 5: Solve for x
    x = 1,990,571,087,376/653,832
  6. Step 6: Final answer
    x = 3,044,468.74

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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.