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Finding the Third Proportional to 680,832 and 1,464,192

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Solution

The third proportional to 680,832 and 1,464,192 is: 3,148,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,832 : 1,464,192 = 1,464,192 : x
  2. Step 2: Convert to fraction form
    680,832/1,464,192 = 1,464,192/x
  3. Step 3: Cross multiply
    680,832x = 1,464,192 × 1,464,192
  4. Step 4: Simplify right side
    680,832x = 2,143,858,212,864
  5. Step 5: Solve for x
    x = 2,143,858,212,864/680,832
  6. Step 6: Final answer
    x = 3,148,879.92

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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.