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Finding the Third Proportional to 733,861 and 1,033,435

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Solution

The third proportional to 733,861 and 1,033,435 is: 1,455,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,861 : 1,033,435 = 1,033,435 : x
  2. Step 2: Convert to fraction form
    733,861/1,033,435 = 1,033,435/x
  3. Step 3: Cross multiply
    733,861x = 1,033,435 × 1,033,435
  4. Step 4: Simplify right side
    733,861x = 1,067,987,899,225
  5. Step 5: Solve for x
    x = 1,067,987,899,225/733,861
  6. Step 6: Final answer
    x = 1,455,299.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.