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Finding the Third Proportional to 401,114 and 855,604

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Solution

The third proportional to 401,114 and 855,604 is: 1,825,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,114 : 855,604 = 855,604 : x
  2. Step 2: Convert to fraction form
    401,114/855,604 = 855,604/x
  3. Step 3: Cross multiply
    401,114x = 855,604 × 855,604
  4. Step 4: Simplify right side
    401,114x = 732,058,204,816
  5. Step 5: Solve for x
    x = 732,058,204,816/401,114
  6. Step 6: Final answer
    x = 1,825,062.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.