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Finding the Third Proportional to 2,040,077 and 4,227,574

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Solution

The third proportional to 2,040,077 and 4,227,574 is: 8,760,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,077 : 4,227,574 = 4,227,574 : x
  2. Step 2: Convert to fraction form
    2,040,077/4,227,574 = 4,227,574/x
  3. Step 3: Cross multiply
    2,040,077x = 4,227,574 × 4,227,574
  4. Step 4: Simplify right side
    2,040,077x = 17,872,381,925,476
  5. Step 5: Solve for x
    x = 17,872,381,925,476/2,040,077
  6. Step 6: Final answer
    x = 8,760,640.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.