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Finding the Third Proportional to 494,437 and 1,058,858

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Solution

The third proportional to 494,437 and 1,058,858 is: 2,267,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,437 : 1,058,858 = 1,058,858 : x
  2. Step 2: Convert to fraction form
    494,437/1,058,858 = 1,058,858/x
  3. Step 3: Cross multiply
    494,437x = 1,058,858 × 1,058,858
  4. Step 4: Simplify right side
    494,437x = 1,121,180,264,164
  5. Step 5: Solve for x
    x = 1,121,180,264,164/494,437
  6. Step 6: Final answer
    x = 2,267,589.73

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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.