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Finding the Third Proportional to 494,442 and 1,058,866

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Solution

The third proportional to 494,442 and 1,058,866 is: 2,267,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,442 : 1,058,866 = 1,058,866 : x
  2. Step 2: Convert to fraction form
    494,442/1,058,866 = 1,058,866/x
  3. Step 3: Cross multiply
    494,442x = 1,058,866 × 1,058,866
  4. Step 4: Simplify right side
    494,442x = 1,121,197,205,956
  5. Step 5: Solve for x
    x = 1,121,197,205,956/494,442
  6. Step 6: Final answer
    x = 2,267,601.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.