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Finding the Third Proportional to 619,452.56 and 1,272,261.94

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Solution

The third proportional to 619,452.56 and 1,272,261.94 is: 2,613,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,452.56 : 1,272,261.94 = 1,272,261.94 : x
  2. Step 2: Convert to fraction form
    619,452.56/1,272,261.94 = 1,272,261.94/x
  3. Step 3: Cross multiply
    619,452.56x = 1,272,261.94 × 1,272,261.94
  4. Step 4: Simplify right side
    619,452.56x = 1,618,650,437,611.25
  5. Step 5: Solve for x
    x = 1,618,650,437,611.25/619,452.56
  6. Step 6: Final answer
    x = 2,613,033.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.