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Finding the Third Proportional to 2,304,960 and 5,029,824

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Solution

The third proportional to 2,304,960 and 5,029,824 is: 10,975,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304,960 : 5,029,824 = 5,029,824 : x
  2. Step 2: Convert to fraction form
    2,304,960/5,029,824 = 5,029,824/x
  3. Step 3: Cross multiply
    2,304,960x = 5,029,824 × 5,029,824
  4. Step 4: Simplify right side
    2,304,960x = 25,299,129,470,976
  5. Step 5: Solve for x
    x = 25,299,129,470,976/2,304,960
  6. Step 6: Final answer
    x = 10,975,951.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.