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Finding the Third Proportional to 517,936.50 and 1,071,837

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Solution

The third proportional to 517,936.50 and 1,071,837 is: 2,218,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,936.50 : 1,071,837 = 1,071,837 : x
  2. Step 2: Convert to fraction form
    517,936.50/1,071,837 = 1,071,837/x
  3. Step 3: Cross multiply
    517,936.50x = 1,071,837 × 1,071,837
  4. Step 4: Simplify right side
    517,936.50x = 1,148,834,554,569
  5. Step 5: Solve for x
    x = 1,148,834,554,569/517,936.50
  6. Step 6: Final answer
    x = 2,218,099.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.