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Finding the Third Proportional to 386,245.97 and 838,986.61

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Solution

The third proportional to 386,245.97 and 838,986.61 is: 1,822,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,245.97 : 838,986.61 = 838,986.61 : x
  2. Step 2: Convert to fraction form
    386,245.97/838,986.61 = 838,986.61/x
  3. Step 3: Cross multiply
    386,245.97x = 838,986.61 × 838,986.61
  4. Step 4: Simplify right side
    386,245.97x = 703,898,530,710.56
  5. Step 5: Solve for x
    x = 703,898,530,710.56/386,245.97
  6. Step 6: Final answer
    x = 1,822,410.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.