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Finding the Third Proportional to 823,954.50 and 1,275,135.75

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Solution

The third proportional to 823,954.50 and 1,275,135.75 is: 1,973,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,954.50 : 1,275,135.75 = 1,275,135.75 : x
  2. Step 2: Convert to fraction form
    823,954.50/1,275,135.75 = 1,275,135.75/x
  3. Step 3: Cross multiply
    823,954.50x = 1,275,135.75 × 1,275,135.75
  4. Step 4: Simplify right side
    823,954.50x = 1,625,971,180,928.06
  5. Step 5: Solve for x
    x = 1,625,971,180,928.06/823,954.50
  6. Step 6: Final answer
    x = 1,973,374.96

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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.