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Finding the Third Proportional to 378,399 and 827,844

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Solution

The third proportional to 378,399 and 827,844 is: 1,811,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,399 : 827,844 = 827,844 : x
  2. Step 2: Convert to fraction form
    378,399/827,844 = 827,844/x
  3. Step 3: Cross multiply
    378,399x = 827,844 × 827,844
  4. Step 4: Simplify right side
    378,399x = 685,325,688,336
  5. Step 5: Solve for x
    x = 685,325,688,336/378,399
  6. Step 6: Final answer
    x = 1,811,119.18

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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.