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Finding the Third Proportional to 696,100 and 1,474,568

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Solution

The third proportional to 696,100 and 1,474,568 is: 3,123,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,100 : 1,474,568 = 1,474,568 : x
  2. Step 2: Convert to fraction form
    696,100/1,474,568 = 1,474,568/x
  3. Step 3: Cross multiply
    696,100x = 1,474,568 × 1,474,568
  4. Step 4: Simplify right side
    696,100x = 2,174,350,786,624
  5. Step 5: Solve for x
    x = 2,174,350,786,624/696,100
  6. Step 6: Final answer
    x = 3,123,618.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.