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Finding the Third Proportional to 416,966 and 813,192

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Solution

The third proportional to 416,966 and 813,192 is: 1,585,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,966 : 813,192 = 813,192 : x
  2. Step 2: Convert to fraction form
    416,966/813,192 = 813,192/x
  3. Step 3: Cross multiply
    416,966x = 813,192 × 813,192
  4. Step 4: Simplify right side
    416,966x = 661,281,228,864
  5. Step 5: Solve for x
    x = 661,281,228,864/416,966
  6. Step 6: Final answer
    x = 1,585,935.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.