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Finding the Third Proportional to 421,908.75 and 909,789.75

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Solution

The third proportional to 421,908.75 and 909,789.75 is: 1,961,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.75 : 909,789.75 = 909,789.75 : x
  2. Step 2: Convert to fraction form
    421,908.75/909,789.75 = 909,789.75/x
  3. Step 3: Cross multiply
    421,908.75x = 909,789.75 × 909,789.75
  4. Step 4: Simplify right side
    421,908.75x = 827,717,389,205.06
  5. Step 5: Solve for x
    x = 827,717,389,205.06/421,908.75
  6. Step 6: Final answer
    x = 1,961,839.83

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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.