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Finding the Third Proportional to 2,023,304 and 4,233,676

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Solution

The third proportional to 2,023,304 and 4,233,676 is: 8,858,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,304 : 4,233,676 = 4,233,676 : x
  2. Step 2: Convert to fraction form
    2,023,304/4,233,676 = 4,233,676/x
  3. Step 3: Cross multiply
    2,023,304x = 4,233,676 × 4,233,676
  4. Step 4: Simplify right side
    2,023,304x = 17,924,012,472,976
  5. Step 5: Solve for x
    x = 17,924,012,472,976/2,023,304
  6. Step 6: Final answer
    x = 8,858,783.69

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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.