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Finding the Third Proportional to 2,401,920 and 5,276,232

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Solution

The third proportional to 2,401,920 and 5,276,232 is: 11,590,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,920 : 5,276,232 = 5,276,232 : x
  2. Step 2: Convert to fraction form
    2,401,920/5,276,232 = 5,276,232/x
  3. Step 3: Cross multiply
    2,401,920x = 5,276,232 × 5,276,232
  4. Step 4: Simplify right side
    2,401,920x = 27,838,624,117,824
  5. Step 5: Solve for x
    x = 27,838,624,117,824/2,401,920
  6. Step 6: Final answer
    x = 11,590,154.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.