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Finding the Third Proportional to 902,589.75 and 1,967,058

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Solution

The third proportional to 902,589.75 and 1,967,058 is: 4,286,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,589.75 : 1,967,058 = 1,967,058 : x
  2. Step 2: Convert to fraction form
    902,589.75/1,967,058 = 1,967,058/x
  3. Step 3: Cross multiply
    902,589.75x = 1,967,058 × 1,967,058
  4. Step 4: Simplify right side
    902,589.75x = 3,869,317,175,364
  5. Step 5: Solve for x
    x = 3,869,317,175,364/902,589.75
  6. Step 6: Final answer
    x = 4,286,905.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.