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Finding the Third Proportional to 2,305,172 and 3,383,022

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Solution

The third proportional to 2,305,172 and 3,383,022 is: 4,964,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,172 : 3,383,022 = 3,383,022 : x
  2. Step 2: Convert to fraction form
    2,305,172/3,383,022 = 3,383,022/x
  3. Step 3: Cross multiply
    2,305,172x = 3,383,022 × 3,383,022
  4. Step 4: Simplify right side
    2,305,172x = 11,444,837,852,484
  5. Step 5: Solve for x
    x = 11,444,837,852,484/2,305,172
  6. Step 6: Final answer
    x = 4,964,852.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.