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Finding the Third Proportional to 2,008,096 and 3,059,216

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Solution

The third proportional to 2,008,096 and 3,059,216 is: 4,660,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,096 : 3,059,216 = 3,059,216 : x
  2. Step 2: Convert to fraction form
    2,008,096/3,059,216 = 3,059,216/x
  3. Step 3: Cross multiply
    2,008,096x = 3,059,216 × 3,059,216
  4. Step 4: Simplify right side
    2,008,096x = 9,358,802,534,656
  5. Step 5: Solve for x
    x = 9,358,802,534,656/2,008,096
  6. Step 6: Final answer
    x = 4,660,535.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.