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Finding the Third Proportional to 813,048 and 1,690,611

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Solution

The third proportional to 813,048 and 1,690,611 is: 3,515,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,048 : 1,690,611 = 1,690,611 : x
  2. Step 2: Convert to fraction form
    813,048/1,690,611 = 1,690,611/x
  3. Step 3: Cross multiply
    813,048x = 1,690,611 × 1,690,611
  4. Step 4: Simplify right side
    813,048x = 2,858,165,553,321
  5. Step 5: Solve for x
    x = 2,858,165,553,321/813,048
  6. Step 6: Final answer
    x = 3,515,371.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.