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Finding the Third Proportional to 437,874 and 941,232

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Solution

The third proportional to 437,874 and 941,232 is: 2,023,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,874 : 941,232 = 941,232 : x
  2. Step 2: Convert to fraction form
    437,874/941,232 = 941,232/x
  3. Step 3: Cross multiply
    437,874x = 941,232 × 941,232
  4. Step 4: Simplify right side
    437,874x = 885,917,677,824
  5. Step 5: Solve for x
    x = 885,917,677,824/437,874
  6. Step 6: Final answer
    x = 2,023,225.12

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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.