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Finding the Third Proportional to 2,023,286 and 4,233,642

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Solution

The third proportional to 2,023,286 and 4,233,642 is: 8,858,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,286 : 4,233,642 = 4,233,642 : x
  2. Step 2: Convert to fraction form
    2,023,286/4,233,642 = 4,233,642/x
  3. Step 3: Cross multiply
    2,023,286x = 4,233,642 × 4,233,642
  4. Step 4: Simplify right side
    2,023,286x = 17,923,724,584,164
  5. Step 5: Solve for x
    x = 17,923,724,584,164/2,023,286
  6. Step 6: Final answer
    x = 8,858,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.