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Finding the Third Proportional to 683,367 and 1,450,824

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Solution

The third proportional to 683,367 and 1,450,824 is: 3,080,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,367 : 1,450,824 = 1,450,824 : x
  2. Step 2: Convert to fraction form
    683,367/1,450,824 = 1,450,824/x
  3. Step 3: Cross multiply
    683,367x = 1,450,824 × 1,450,824
  4. Step 4: Simplify right side
    683,367x = 2,104,890,278,976
  5. Step 5: Solve for x
    x = 2,104,890,278,976/683,367
  6. Step 6: Final answer
    x = 3,080,175.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.