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Finding the Third Proportional to 425,812 and 667,974

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Solution

The third proportional to 425,812 and 667,974 is: 1,047,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,812 : 667,974 = 667,974 : x
  2. Step 2: Convert to fraction form
    425,812/667,974 = 667,974/x
  3. Step 3: Cross multiply
    425,812x = 667,974 × 667,974
  4. Step 4: Simplify right side
    425,812x = 446,189,264,676
  5. Step 5: Solve for x
    x = 446,189,264,676/425,812
  6. Step 6: Final answer
    x = 1,047,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.