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Finding the Third Proportional to 1,965,629.63 and 4,204,513.88

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Solution

The third proportional to 1,965,629.63 and 4,204,513.88 is: 8,993,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,629.63 : 4,204,513.88 = 4,204,513.88 : x
  2. Step 2: Convert to fraction form
    1,965,629.63/4,204,513.88 = 4,204,513.88/x
  3. Step 3: Cross multiply
    1,965,629.63x = 4,204,513.88 × 4,204,513.88
  4. Step 4: Simplify right side
    1,965,629.63x = 17,677,936,925,067.52
  5. Step 5: Solve for x
    x = 17,677,936,925,067.52/1,965,629.63
  6. Step 6: Final answer
    x = 8,993,523.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.