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Finding the Third Proportional to 832,115.53 and 1,790,636.63

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Solution

The third proportional to 832,115.53 and 1,790,636.63 is: 3,853,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,115.53 : 1,790,636.63 = 1,790,636.63 : x
  2. Step 2: Convert to fraction form
    832,115.53/1,790,636.63 = 1,790,636.63/x
  3. Step 3: Cross multiply
    832,115.53x = 1,790,636.63 × 1,790,636.63
  4. Step 4: Simplify right side
    832,115.53x = 3,206,379,522,791.39
  5. Step 5: Solve for x
    x = 3,206,379,522,791.39/832,115.53
  6. Step 6: Final answer
    x = 3,853,286.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.