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Finding the Third Proportional to 694,419 and 1,474,158

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Solution

The third proportional to 694,419 and 1,474,158 is: 3,129,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,419 : 1,474,158 = 1,474,158 : x
  2. Step 2: Convert to fraction form
    694,419/1,474,158 = 1,474,158/x
  3. Step 3: Cross multiply
    694,419x = 1,474,158 × 1,474,158
  4. Step 4: Simplify right side
    694,419x = 2,173,141,808,964
  5. Step 5: Solve for x
    x = 2,173,141,808,964/694,419
  6. Step 6: Final answer
    x = 3,129,438.87

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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.