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Finding the Third Proportional to 903,586 and 1,882,083

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Solution

The third proportional to 903,586 and 1,882,083 is: 3,920,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,586 : 1,882,083 = 1,882,083 : x
  2. Step 2: Convert to fraction form
    903,586/1,882,083 = 1,882,083/x
  3. Step 3: Cross multiply
    903,586x = 1,882,083 × 1,882,083
  4. Step 4: Simplify right side
    903,586x = 3,542,236,418,889
  5. Step 5: Solve for x
    x = 3,542,236,418,889/903,586
  6. Step 6: Final answer
    x = 3,920,198.43

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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.