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Finding the Third Proportional to 831,843.50 and 1,703,103.75

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Solution

The third proportional to 831,843.50 and 1,703,103.75 is: 3,486,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,843.50 : 1,703,103.75 = 1,703,103.75 : x
  2. Step 2: Convert to fraction form
    831,843.50/1,703,103.75 = 1,703,103.75/x
  3. Step 3: Cross multiply
    831,843.50x = 1,703,103.75 × 1,703,103.75
  4. Step 4: Simplify right side
    831,843.50x = 2,900,562,383,264.06
  5. Step 5: Solve for x
    x = 2,900,562,383,264.06/831,843.50
  6. Step 6: Final answer
    x = 3,486,908.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.