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Finding the Third Proportional to 451,786.36 and 950,166.07

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Solution

The third proportional to 451,786.36 and 950,166.07 is: 1,998,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,786.36 : 950,166.07 = 950,166.07 : x
  2. Step 2: Convert to fraction form
    451,786.36/950,166.07 = 950,166.07/x
  3. Step 3: Cross multiply
    451,786.36x = 950,166.07 × 950,166.07
  4. Step 4: Simplify right side
    451,786.36x = 902,815,561,173.10
  5. Step 5: Solve for x
    x = 902,815,561,173.10/451,786.36
  6. Step 6: Final answer
    x = 1,998,324.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.