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Finding the Third Proportional to 1,040,632 and 2,109,970

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Solution

The third proportional to 1,040,632 and 2,109,970 is: 4,278,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,632 : 2,109,970 = 2,109,970 : x
  2. Step 2: Convert to fraction form
    1,040,632/2,109,970 = 2,109,970/x
  3. Step 3: Cross multiply
    1,040,632x = 2,109,970 × 2,109,970
  4. Step 4: Simplify right side
    1,040,632x = 4,451,973,400,900
  5. Step 5: Solve for x
    x = 4,451,973,400,900/1,040,632
  6. Step 6: Final answer
    x = 4,278,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.