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Finding the Third Proportional to 629,185 and 943,845

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Solution

The third proportional to 629,185 and 943,845 is: 1,415,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,185 : 943,845 = 943,845 : x
  2. Step 2: Convert to fraction form
    629,185/943,845 = 943,845/x
  3. Step 3: Cross multiply
    629,185x = 943,845 × 943,845
  4. Step 4: Simplify right side
    629,185x = 890,843,384,025
  5. Step 5: Solve for x
    x = 890,843,384,025/629,185
  6. Step 6: Final answer
    x = 1,415,868.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.