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Finding the Third Proportional to 876,723.75 and 1,822,338

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Solution

The third proportional to 876,723.75 and 1,822,338 is: 3,787,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,723.75 : 1,822,338 = 1,822,338 : x
  2. Step 2: Convert to fraction form
    876,723.75/1,822,338 = 1,822,338/x
  3. Step 3: Cross multiply
    876,723.75x = 1,822,338 × 1,822,338
  4. Step 4: Simplify right side
    876,723.75x = 3,320,915,786,244
  5. Step 5: Solve for x
    x = 3,320,915,786,244/876,723.75
  6. Step 6: Final answer
    x = 3,787,870.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.