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Finding the Third Proportional to 394,944 and 867,114

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Solution

The third proportional to 394,944 and 867,114 is: 1,903,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,944 : 867,114 = 867,114 : x
  2. Step 2: Convert to fraction form
    394,944/867,114 = 867,114/x
  3. Step 3: Cross multiply
    394,944x = 867,114 × 867,114
  4. Step 4: Simplify right side
    394,944x = 751,886,688,996
  5. Step 5: Solve for x
    x = 751,886,688,996/394,944
  6. Step 6: Final answer
    x = 1,903,780.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.