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Finding the Third Proportional to 491,739.75 and 1,070,003.25

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Solution

The third proportional to 491,739.75 and 1,070,003.25 is: 2,328,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,739.75 : 1,070,003.25 = 1,070,003.25 : x
  2. Step 2: Convert to fraction form
    491,739.75/1,070,003.25 = 1,070,003.25/x
  3. Step 3: Cross multiply
    491,739.75x = 1,070,003.25 × 1,070,003.25
  4. Step 4: Simplify right side
    491,739.75x = 1,144,906,955,010.56
  5. Step 5: Solve for x
    x = 1,144,906,955,010.56/491,739.75
  6. Step 6: Final answer
    x = 2,328,278.23

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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.