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Finding the Third Proportional to 752,866.50 and 1,146,944.63

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Solution

The third proportional to 752,866.50 and 1,146,944.63 is: 1,747,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,866.50 : 1,146,944.63 = 1,146,944.63 : x
  2. Step 2: Convert to fraction form
    752,866.50/1,146,944.63 = 1,146,944.63/x
  3. Step 3: Cross multiply
    752,866.50x = 1,146,944.63 × 1,146,944.63
  4. Step 4: Simplify right side
    752,866.50x = 1,315,481,994,657.66
  5. Step 5: Solve for x
    x = 1,315,481,994,657.66/752,866.50
  6. Step 6: Final answer
    x = 1,747,297.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.