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Finding the Third Proportional to 675,204 and 1,475,876

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Solution

The third proportional to 675,204 and 1,475,876 is: 3,226,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,204 : 1,475,876 = 1,475,876 : x
  2. Step 2: Convert to fraction form
    675,204/1,475,876 = 1,475,876/x
  3. Step 3: Cross multiply
    675,204x = 1,475,876 × 1,475,876
  4. Step 4: Simplify right side
    675,204x = 2,178,209,967,376
  5. Step 5: Solve for x
    x = 2,178,209,967,376/675,204
  6. Step 6: Final answer
    x = 3,226,002.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.