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Finding the Third Proportional to 394,445 and 863,923

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Solution

The third proportional to 394,445 and 863,923 is: 1,892,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,445 : 863,923 = 863,923 : x
  2. Step 2: Convert to fraction form
    394,445/863,923 = 863,923/x
  3. Step 3: Cross multiply
    394,445x = 863,923 × 863,923
  4. Step 4: Simplify right side
    394,445x = 746,362,949,929
  5. Step 5: Solve for x
    x = 746,362,949,929/394,445
  6. Step 6: Final answer
    x = 1,892,185.10

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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.