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Finding the Third Proportional to 420,843 and 894,252

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Solution

The third proportional to 420,843 and 894,252 is: 1,900,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,843 : 894,252 = 894,252 : x
  2. Step 2: Convert to fraction form
    420,843/894,252 = 894,252/x
  3. Step 3: Cross multiply
    420,843x = 894,252 × 894,252
  4. Step 4: Simplify right side
    420,843x = 799,686,639,504
  5. Step 5: Solve for x
    x = 799,686,639,504/420,843
  6. Step 6: Final answer
    x = 1,900,201.83

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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.