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Finding the Third Proportional to 407,266 and 894,825

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Solution

The third proportional to 407,266 and 894,825 is: 1,966,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,266 : 894,825 = 894,825 : x
  2. Step 2: Convert to fraction form
    407,266/894,825 = 894,825/x
  3. Step 3: Cross multiply
    407,266x = 894,825 × 894,825
  4. Step 4: Simplify right side
    407,266x = 800,711,780,625
  5. Step 5: Solve for x
    x = 800,711,780,625/407,266
  6. Step 6: Final answer
    x = 1,966,065.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.