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Finding the Third Proportional to 825,853.50 and 1,819,338

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Solution

The third proportional to 825,853.50 and 1,819,338 is: 4,007,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,853.50 : 1,819,338 = 1,819,338 : x
  2. Step 2: Convert to fraction form
    825,853.50/1,819,338 = 1,819,338/x
  3. Step 3: Cross multiply
    825,853.50x = 1,819,338 × 1,819,338
  4. Step 4: Simplify right side
    825,853.50x = 3,309,990,758,244
  5. Step 5: Solve for x
    x = 3,309,990,758,244/825,853.50
  6. Step 6: Final answer
    x = 4,007,963.59

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