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Finding the Third Proportional to 451,824 and 941,103

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Solution

The third proportional to 451,824 and 941,103 is: 1,960,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,824 : 941,103 = 941,103 : x
  2. Step 2: Convert to fraction form
    451,824/941,103 = 941,103/x
  3. Step 3: Cross multiply
    451,824x = 941,103 × 941,103
  4. Step 4: Simplify right side
    451,824x = 885,674,856,609
  5. Step 5: Solve for x
    x = 885,674,856,609/451,824
  6. Step 6: Final answer
    x = 1,960,220.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.