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Finding the Third Proportional to 1,032,993.56 and 2,231,971.31

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Solution

The third proportional to 1,032,993.56 and 2,231,971.31 is: 4,822,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,993.56 : 2,231,971.31 = 2,231,971.31 : x
  2. Step 2: Convert to fraction form
    1,032,993.56/2,231,971.31 = 2,231,971.31/x
  3. Step 3: Cross multiply
    1,032,993.56x = 2,231,971.31 × 2,231,971.31
  4. Step 4: Simplify right side
    1,032,993.56x = 4,981,695,939,822.97
  5. Step 5: Solve for x
    x = 4,981,695,939,822.97/1,032,993.56
  6. Step 6: Final answer
    x = 4,822,581.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.