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Finding the Third Proportional to 850,338.38 and 1,289,004.19

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Solution

The third proportional to 850,338.38 and 1,289,004.19 is: 1,953,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,338.38 : 1,289,004.19 = 1,289,004.19 : x
  2. Step 2: Convert to fraction form
    850,338.38/1,289,004.19 = 1,289,004.19/x
  3. Step 3: Cross multiply
    850,338.38x = 1,289,004.19 × 1,289,004.19
  4. Step 4: Simplify right side
    850,338.38x = 1,661,531,795,392.54
  5. Step 5: Solve for x
    x = 1,661,531,795,392.54/850,338.38
  6. Step 6: Final answer
    x = 1,953,965.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.