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Finding the Third Proportional to 683,991 and 1,026,351

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Solution

The third proportional to 683,991 and 1,026,351 is: 1,540,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,991 : 1,026,351 = 1,026,351 : x
  2. Step 2: Convert to fraction form
    683,991/1,026,351 = 1,026,351/x
  3. Step 3: Cross multiply
    683,991x = 1,026,351 × 1,026,351
  4. Step 4: Simplify right side
    683,991x = 1,053,396,375,201
  5. Step 5: Solve for x
    x = 1,053,396,375,201/683,991
  6. Step 6: Final answer
    x = 1,540,073.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.