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Finding the Third Proportional to 685,842.75 and 1,493,871.75

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Solution

The third proportional to 685,842.75 and 1,493,871.75 is: 3,253,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,842.75 : 1,493,871.75 = 1,493,871.75 : x
  2. Step 2: Convert to fraction form
    685,842.75/1,493,871.75 = 1,493,871.75/x
  3. Step 3: Cross multiply
    685,842.75x = 1,493,871.75 × 1,493,871.75
  4. Step 4: Simplify right side
    685,842.75x = 2,231,652,805,448.06
  5. Step 5: Solve for x
    x = 2,231,652,805,448.06/685,842.75
  6. Step 6: Final answer
    x = 3,253,884.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.