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Finding the Third Proportional to 800,896.50 and 1,703,527.50

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Solution

The third proportional to 800,896.50 and 1,703,527.50 is: 3,623,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,896.50 : 1,703,527.50 = 1,703,527.50 : x
  2. Step 2: Convert to fraction form
    800,896.50/1,703,527.50 = 1,703,527.50/x
  3. Step 3: Cross multiply
    800,896.50x = 1,703,527.50 × 1,703,527.50
  4. Step 4: Simplify right side
    800,896.50x = 2,902,005,943,256.25
  5. Step 5: Solve for x
    x = 2,902,005,943,256.25/800,896.50
  6. Step 6: Final answer
    x = 3,623,446.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.