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Finding the Third Proportional to 674,408 and 1,444,466

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Solution

The third proportional to 674,408 and 1,444,466 is: 3,093,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,408 : 1,444,466 = 1,444,466 : x
  2. Step 2: Convert to fraction form
    674,408/1,444,466 = 1,444,466/x
  3. Step 3: Cross multiply
    674,408x = 1,444,466 × 1,444,466
  4. Step 4: Simplify right side
    674,408x = 2,086,482,025,156
  5. Step 5: Solve for x
    x = 2,086,482,025,156/674,408
  6. Step 6: Final answer
    x = 3,093,797.86

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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.