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Finding the Third Proportional to 401,104 and 855,584

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Solution

The third proportional to 401,104 and 855,584 is: 1,825,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,104 : 855,584 = 855,584 : x
  2. Step 2: Convert to fraction form
    401,104/855,584 = 855,584/x
  3. Step 3: Cross multiply
    401,104x = 855,584 × 855,584
  4. Step 4: Simplify right side
    401,104x = 732,023,981,056
  5. Step 5: Solve for x
    x = 732,023,981,056/401,104
  6. Step 6: Final answer
    x = 1,825,022.89

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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.