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Finding the Third Proportional to 629,920 and 943,136

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Solution

The third proportional to 629,920 and 943,136 is: 1,412,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,920 : 943,136 = 943,136 : x
  2. Step 2: Convert to fraction form
    629,920/943,136 = 943,136/x
  3. Step 3: Cross multiply
    629,920x = 943,136 × 943,136
  4. Step 4: Simplify right side
    629,920x = 889,505,514,496
  5. Step 5: Solve for x
    x = 889,505,514,496/629,920
  6. Step 6: Final answer
    x = 1,412,092.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.