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Finding the Third Proportional to 412,878.94 and 906,950.25

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Solution

The third proportional to 412,878.94 and 906,950.25 is: 1,992,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,878.94 : 906,950.25 = 906,950.25 : x
  2. Step 2: Convert to fraction form
    412,878.94/906,950.25 = 906,950.25/x
  3. Step 3: Cross multiply
    412,878.94x = 906,950.25 × 906,950.25
  4. Step 4: Simplify right side
    412,878.94x = 822,558,755,975.06
  5. Step 5: Solve for x
    x = 822,558,755,975.06/412,878.94
  6. Step 6: Final answer
    x = 1,992,251.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.