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Finding the Third Proportional to 436,824 and 940,608

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Solution

The third proportional to 436,824 and 940,608 is: 2,025,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,824 : 940,608 = 940,608 : x
  2. Step 2: Convert to fraction form
    436,824/940,608 = 940,608/x
  3. Step 3: Cross multiply
    436,824x = 940,608 × 940,608
  4. Step 4: Simplify right side
    436,824x = 884,743,409,664
  5. Step 5: Solve for x
    x = 884,743,409,664/436,824
  6. Step 6: Final answer
    x = 2,025,400.18

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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.