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Finding the Third Proportional to 737,138.25 and 1,576,743

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Solution

The third proportional to 737,138.25 and 1,576,743 is: 3,372,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,138.25 : 1,576,743 = 1,576,743 : x
  2. Step 2: Convert to fraction form
    737,138.25/1,576,743 = 1,576,743/x
  3. Step 3: Cross multiply
    737,138.25x = 1,576,743 × 1,576,743
  4. Step 4: Simplify right side
    737,138.25x = 2,486,118,488,049
  5. Step 5: Solve for x
    x = 2,486,118,488,049/737,138.25
  6. Step 6: Final answer
    x = 3,372,662.44

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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.