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Finding the Third Proportional to 821,765.25 and 1,263,812.63

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Solution

The third proportional to 821,765.25 and 1,263,812.63 is: 1,943,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,765.25 : 1,263,812.63 = 1,263,812.63 : x
  2. Step 2: Convert to fraction form
    821,765.25/1,263,812.63 = 1,263,812.63/x
  3. Step 3: Cross multiply
    821,765.25x = 1,263,812.63 × 1,263,812.63
  4. Step 4: Simplify right side
    821,765.25x = 1,597,222,351,109.39
  5. Step 5: Solve for x
    x = 1,597,222,351,109.39/821,765.25
  6. Step 6: Final answer
    x = 1,943,647.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.