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Finding the Third Proportional to 437,728 and 940,842

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Solution

The third proportional to 437,728 and 940,842 is: 2,022,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,728 : 940,842 = 940,842 : x
  2. Step 2: Convert to fraction form
    437,728/940,842 = 940,842/x
  3. Step 3: Cross multiply
    437,728x = 940,842 × 940,842
  4. Step 4: Simplify right side
    437,728x = 885,183,668,964
  5. Step 5: Solve for x
    x = 885,183,668,964/437,728
  6. Step 6: Final answer
    x = 2,022,223.09

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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.