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Finding the Third Proportional to 791,795.25 and 1,741,044.38

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Solution

The third proportional to 791,795.25 and 1,741,044.38 is: 3,828,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,795.25 : 1,741,044.38 = 1,741,044.38 : x
  2. Step 2: Convert to fraction form
    791,795.25/1,741,044.38 = 1,741,044.38/x
  3. Step 3: Cross multiply
    791,795.25x = 1,741,044.38 × 1,741,044.38
  4. Step 4: Simplify right side
    791,795.25x = 3,031,235,515,719.14
  5. Step 5: Solve for x
    x = 3,031,235,515,719.14/791,795.25
  6. Step 6: Final answer
    x = 3,828,307.27

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Why These Related Problems?

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