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Finding the Third Proportional to 619,469.44 and 1,272,295.69

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Solution

The third proportional to 619,469.44 and 1,272,295.69 is: 2,613,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,469.44 : 1,272,295.69 = 1,272,295.69 : x
  2. Step 2: Convert to fraction form
    619,469.44/1,272,295.69 = 1,272,295.69/x
  3. Step 3: Cross multiply
    619,469.44x = 1,272,295.69 × 1,272,295.69
  4. Step 4: Simplify right side
    619,469.44x = 1,618,736,316,431.10
  5. Step 5: Solve for x
    x = 1,618,736,316,431.10/619,469.44
  6. Step 6: Final answer
    x = 2,613,101.18

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