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Finding the Third Proportional to 467,301.38 and 1,021,093.88

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Solution

The third proportional to 467,301.38 and 1,021,093.88 is: 2,231,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,301.38 : 1,021,093.88 = 1,021,093.88 : x
  2. Step 2: Convert to fraction form
    467,301.38/1,021,093.88 = 1,021,093.88/x
  3. Step 3: Cross multiply
    467,301.38x = 1,021,093.88 × 1,021,093.88
  4. Step 4: Simplify right side
    467,301.38x = 1,042,632,701,562.52
  5. Step 5: Solve for x
    x = 1,042,632,701,562.52/467,301.38
  6. Step 6: Final answer
    x = 2,231,178.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.