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Finding the Third Proportional to 2,023,276 and 4,233,596

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Solution

The third proportional to 2,023,276 and 4,233,596 is: 8,858,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,276 : 4,233,596 = 4,233,596 : x
  2. Step 2: Convert to fraction form
    2,023,276/4,233,596 = 4,233,596/x
  3. Step 3: Cross multiply
    2,023,276x = 4,233,596 × 4,233,596
  4. Step 4: Simplify right side
    2,023,276x = 17,923,335,091,216
  5. Step 5: Solve for x
    x = 17,923,335,091,216/2,023,276
  6. Step 6: Final answer
    x = 8,858,571.49

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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.