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Finding the Third Proportional to 481,770 and 1,058,872

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Solution

The third proportional to 481,770 and 1,058,872 is: 2,327,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,770 : 1,058,872 = 1,058,872 : x
  2. Step 2: Convert to fraction form
    481,770/1,058,872 = 1,058,872/x
  3. Step 3: Cross multiply
    481,770x = 1,058,872 × 1,058,872
  4. Step 4: Simplify right side
    481,770x = 1,121,209,912,384
  5. Step 5: Solve for x
    x = 1,121,209,912,384/481,770
  6. Step 6: Final answer
    x = 2,327,272.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.