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Finding the Third Proportional to 1,335,240 and 2,969,016

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Solution

The third proportional to 1,335,240 and 2,969,016 is: 6,601,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,240 : 2,969,016 = 2,969,016 : x
  2. Step 2: Convert to fraction form
    1,335,240/2,969,016 = 2,969,016/x
  3. Step 3: Cross multiply
    1,335,240x = 2,969,016 × 2,969,016
  4. Step 4: Simplify right side
    1,335,240x = 8,815,056,008,256
  5. Step 5: Solve for x
    x = 8,815,056,008,256/1,335,240
  6. Step 6: Final answer
    x = 6,601,851.36

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.