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Finding the Third Proportional to 683,839 and 1,472,846

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Solution

The third proportional to 683,839 and 1,472,846 is: 3,172,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,839 : 1,472,846 = 1,472,846 : x
  2. Step 2: Convert to fraction form
    683,839/1,472,846 = 1,472,846/x
  3. Step 3: Cross multiply
    683,839x = 1,472,846 × 1,472,846
  4. Step 4: Simplify right side
    683,839x = 2,169,275,339,716
  5. Step 5: Solve for x
    x = 2,169,275,339,716/683,839
  6. Step 6: Final answer
    x = 3,172,201.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.