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Finding the Third Proportional to 394,194 and 863,970

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Solution

The third proportional to 394,194 and 863,970 is: 1,893,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,194 : 863,970 = 863,970 : x
  2. Step 2: Convert to fraction form
    394,194/863,970 = 863,970/x
  3. Step 3: Cross multiply
    394,194x = 863,970 × 863,970
  4. Step 4: Simplify right side
    394,194x = 746,444,160,900
  5. Step 5: Solve for x
    x = 746,444,160,900/394,194
  6. Step 6: Final answer
    x = 1,893,595.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.