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Finding the Third Proportional to 421,086.38 and 894,733.88

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Solution

The third proportional to 421,086.38 and 894,733.88 is: 1,901,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,086.38 : 894,733.88 = 894,733.88 : x
  2. Step 2: Convert to fraction form
    421,086.38/894,733.88 = 894,733.88/x
  3. Step 3: Cross multiply
    421,086.38x = 894,733.88 × 894,733.88
  4. Step 4: Simplify right side
    421,086.38x = 800,548,707,072.52
  5. Step 5: Solve for x
    x = 800,548,707,072.52/421,086.38
  6. Step 6: Final answer
    x = 1,901,150.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.