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Finding the Third Proportional to 2,019,540 and 4,322,775

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Solution

The third proportional to 2,019,540 and 4,322,775 is: 9,252,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,540 : 4,322,775 = 4,322,775 : x
  2. Step 2: Convert to fraction form
    2,019,540/4,322,775 = 4,322,775/x
  3. Step 3: Cross multiply
    2,019,540x = 4,322,775 × 4,322,775
  4. Step 4: Simplify right side
    2,019,540x = 18,686,383,700,625
  5. Step 5: Solve for x
    x = 18,686,383,700,625/2,019,540
  6. Step 6: Final answer
    x = 9,252,792.07

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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.