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Finding the Third Proportional to 403,674 and 951,573

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Solution

The third proportional to 403,674 and 951,573 is: 2,243,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,674 : 951,573 = 951,573 : x
  2. Step 2: Convert to fraction form
    403,674/951,573 = 951,573/x
  3. Step 3: Cross multiply
    403,674x = 951,573 × 951,573
  4. Step 4: Simplify right side
    403,674x = 905,491,174,329
  5. Step 5: Solve for x
    x = 905,491,174,329/403,674
  6. Step 6: Final answer
    x = 2,243,124.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.