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Finding the Third Proportional to 513,735.75 and 1,108,917

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Solution

The third proportional to 513,735.75 and 1,108,917 is: 2,393,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,735.75 : 1,108,917 = 1,108,917 : x
  2. Step 2: Convert to fraction form
    513,735.75/1,108,917 = 1,108,917/x
  3. Step 3: Cross multiply
    513,735.75x = 1,108,917 × 1,108,917
  4. Step 4: Simplify right side
    513,735.75x = 1,229,696,912,889
  5. Step 5: Solve for x
    x = 1,229,696,912,889/513,735.75
  6. Step 6: Final answer
    x = 2,393,637.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.