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Finding the Third Proportional to 696,078 and 1,474,524

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Solution

The third proportional to 696,078 and 1,474,524 is: 3,123,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,078 : 1,474,524 = 1,474,524 : x
  2. Step 2: Convert to fraction form
    696,078/1,474,524 = 1,474,524/x
  3. Step 3: Cross multiply
    696,078x = 1,474,524 × 1,474,524
  4. Step 4: Simplify right side
    696,078x = 2,174,221,026,576
  5. Step 5: Solve for x
    x = 2,174,221,026,576/696,078
  6. Step 6: Final answer
    x = 3,123,530.73

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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.