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Finding the Third Proportional to 789,996.16 and 1,193,296.43

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Solution

The third proportional to 789,996.16 and 1,193,296.43 is: 1,802,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,996.16 : 1,193,296.43 = 1,193,296.43 : x
  2. Step 2: Convert to fraction form
    789,996.16/1,193,296.43 = 1,193,296.43/x
  3. Step 3: Cross multiply
    789,996.16x = 1,193,296.43 × 1,193,296.43
  4. Step 4: Simplify right side
    789,996.16x = 1,423,956,369,104.93
  5. Step 5: Solve for x
    x = 1,423,956,369,104.93/789,996.16
  6. Step 6: Final answer
    x = 1,802,485.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.