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Finding the Third Proportional to 1,749,982 and 2,353,782

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Solution

The third proportional to 1,749,982 and 2,353,782 is: 3,165,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,982 : 2,353,782 = 2,353,782 : x
  2. Step 2: Convert to fraction form
    1,749,982/2,353,782 = 2,353,782/x
  3. Step 3: Cross multiply
    1,749,982x = 2,353,782 × 2,353,782
  4. Step 4: Simplify right side
    1,749,982x = 5,540,289,703,524
  5. Step 5: Solve for x
    x = 5,540,289,703,524/1,749,982
  6. Step 6: Final answer
    x = 3,165,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.