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Finding the Third Proportional to 411,220.13 and 916,993.41

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Solution

The third proportional to 411,220.13 and 916,993.41 is: 2,044,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,220.13 : 916,993.41 = 916,993.41 : x
  2. Step 2: Convert to fraction form
    411,220.13/916,993.41 = 916,993.41/x
  3. Step 3: Cross multiply
    411,220.13x = 916,993.41 × 916,993.41
  4. Step 4: Simplify right side
    411,220.13x = 840,876,907,105.98
  5. Step 5: Solve for x
    x = 840,876,907,105.98/411,220.13
  6. Step 6: Final answer
    x = 2,044,834.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.