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Finding the Third Proportional to 688,193 and 1,512,526

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Solution

The third proportional to 688,193 and 1,512,526 is: 3,324,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,193 : 1,512,526 = 1,512,526 : x
  2. Step 2: Convert to fraction form
    688,193/1,512,526 = 1,512,526/x
  3. Step 3: Cross multiply
    688,193x = 1,512,526 × 1,512,526
  4. Step 4: Simplify right side
    688,193x = 2,287,734,900,676
  5. Step 5: Solve for x
    x = 2,287,734,900,676/688,193
  6. Step 6: Final answer
    x = 3,324,263.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.