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Finding the Third Proportional to 696,081 and 1,474,530

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Solution

The third proportional to 696,081 and 1,474,530 is: 3,123,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,081 : 1,474,530 = 1,474,530 : x
  2. Step 2: Convert to fraction form
    696,081/1,474,530 = 1,474,530/x
  3. Step 3: Cross multiply
    696,081x = 1,474,530 × 1,474,530
  4. Step 4: Simplify right side
    696,081x = 2,174,238,720,900
  5. Step 5: Solve for x
    x = 2,174,238,720,900/696,081
  6. Step 6: Final answer
    x = 3,123,542.69

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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.