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Finding the Third Proportional to 683,406 and 1,498,446

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Solution

The third proportional to 683,406 and 1,498,446 is: 3,285,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,406 : 1,498,446 = 1,498,446 : x
  2. Step 2: Convert to fraction form
    683,406/1,498,446 = 1,498,446/x
  3. Step 3: Cross multiply
    683,406x = 1,498,446 × 1,498,446
  4. Step 4: Simplify right side
    683,406x = 2,245,340,414,916
  5. Step 5: Solve for x
    x = 2,245,340,414,916/683,406
  6. Step 6: Final answer
    x = 3,285,514.64

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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.