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Finding the Third Proportional to 451,792 and 941,039

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Solution

The third proportional to 451,792 and 941,039 is: 1,960,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,792 : 941,039 = 941,039 : x
  2. Step 2: Convert to fraction form
    451,792/941,039 = 941,039/x
  3. Step 3: Cross multiply
    451,792x = 941,039 × 941,039
  4. Step 4: Simplify right side
    451,792x = 885,554,399,521
  5. Step 5: Solve for x
    x = 885,554,399,521/451,792
  6. Step 6: Final answer
    x = 1,960,093.14

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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.