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Finding the Third Proportional to 411,067 and 896,834.75

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Solution

The third proportional to 411,067 and 896,834.75 is: 1,956,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,067 : 896,834.75 = 896,834.75 : x
  2. Step 2: Convert to fraction form
    411,067/896,834.75 = 896,834.75/x
  3. Step 3: Cross multiply
    411,067x = 896,834.75 × 896,834.75
  4. Step 4: Simplify right side
    411,067x = 804,312,568,807.56
  5. Step 5: Solve for x
    x = 804,312,568,807.56/411,067
  6. Step 6: Final answer
    x = 1,956,645.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.