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Finding the Third Proportional to 826,481.44 and 1,277,124.19

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Solution

The third proportional to 826,481.44 and 1,277,124.19 is: 1,973,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,481.44 : 1,277,124.19 = 1,277,124.19 : x
  2. Step 2: Convert to fraction form
    826,481.44/1,277,124.19 = 1,277,124.19/x
  3. Step 3: Cross multiply
    826,481.44x = 1,277,124.19 × 1,277,124.19
  4. Step 4: Simplify right side
    826,481.44x = 1,631,046,190,297.54
  5. Step 5: Solve for x
    x = 1,631,046,190,297.54/826,481.44
  6. Step 6: Final answer
    x = 1,973,481.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.