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Finding the Third Proportional to 437,718 and 940,825

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Solution

The third proportional to 437,718 and 940,825 is: 2,022,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,718 : 940,825 = 940,825 : x
  2. Step 2: Convert to fraction form
    437,718/940,825 = 940,825/x
  3. Step 3: Cross multiply
    437,718x = 940,825 × 940,825
  4. Step 4: Simplify right side
    437,718x = 885,151,680,625
  5. Step 5: Solve for x
    x = 885,151,680,625/437,718
  6. Step 6: Final answer
    x = 2,022,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.