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Finding the Third Proportional to 363,892 and 789,944

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Solution

The third proportional to 363,892 and 789,944 is: 1,714,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,892 : 789,944 = 789,944 : x
  2. Step 2: Convert to fraction form
    363,892/789,944 = 789,944/x
  3. Step 3: Cross multiply
    363,892x = 789,944 × 789,944
  4. Step 4: Simplify right side
    363,892x = 624,011,523,136
  5. Step 5: Solve for x
    x = 624,011,523,136/363,892
  6. Step 6: Final answer
    x = 1,714,826.17

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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.