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Finding the Third Proportional to 416,038 and 894,314

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Solution

The third proportional to 416,038 and 894,314 is: 1,922,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,038 : 894,314 = 894,314 : x
  2. Step 2: Convert to fraction form
    416,038/894,314 = 894,314/x
  3. Step 3: Cross multiply
    416,038x = 894,314 × 894,314
  4. Step 4: Simplify right side
    416,038x = 799,797,530,596
  5. Step 5: Solve for x
    x = 799,797,530,596/416,038
  6. Step 6: Final answer
    x = 1,922,414.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.