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Finding the Third Proportional to 1,171,768.31 and 2,568,662.63

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Solution

The third proportional to 1,171,768.31 and 2,568,662.63 is: 5,630,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,768.31 : 2,568,662.63 = 2,568,662.63 : x
  2. Step 2: Convert to fraction form
    1,171,768.31/2,568,662.63 = 2,568,662.63/x
  3. Step 3: Cross multiply
    1,171,768.31x = 2,568,662.63 × 2,568,662.63
  4. Step 4: Simplify right side
    1,171,768.31x = 6,598,027,681,071.89
  5. Step 5: Solve for x
    x = 6,598,027,681,071.89/1,171,768.31
  6. Step 6: Final answer
    x = 5,630,829.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.