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Finding the Third Proportional to 407,888 and 894,568

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Solution

The third proportional to 407,888 and 894,568 is: 1,961,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,888 : 894,568 = 894,568 : x
  2. Step 2: Convert to fraction form
    407,888/894,568 = 894,568/x
  3. Step 3: Cross multiply
    407,888x = 894,568 × 894,568
  4. Step 4: Simplify right side
    407,888x = 800,251,906,624
  5. Step 5: Solve for x
    x = 800,251,906,624/407,888
  6. Step 6: Final answer
    x = 1,961,940.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.