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Finding the Third Proportional to 795,393 and 1,682,907

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Solution

The third proportional to 795,393 and 1,682,907 is: 3,560,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,393 : 1,682,907 = 1,682,907 : x
  2. Step 2: Convert to fraction form
    795,393/1,682,907 = 1,682,907/x
  3. Step 3: Cross multiply
    795,393x = 1,682,907 × 1,682,907
  4. Step 4: Simplify right side
    795,393x = 2,832,175,970,649
  5. Step 5: Solve for x
    x = 2,832,175,970,649/795,393
  6. Step 6: Final answer
    x = 3,560,725.29

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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.