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Finding the Third Proportional to 674,414 and 1,444,489

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Solution

The third proportional to 674,414 and 1,444,489 is: 3,093,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,414 : 1,444,489 = 1,444,489 : x
  2. Step 2: Convert to fraction form
    674,414/1,444,489 = 1,444,489/x
  3. Step 3: Cross multiply
    674,414x = 1,444,489 × 1,444,489
  4. Step 4: Simplify right side
    674,414x = 2,086,548,471,121
  5. Step 5: Solve for x
    x = 2,086,548,471,121/674,414
  6. Step 6: Final answer
    x = 3,093,868.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.