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Finding the Third Proportional to 2,274,540 and 4,864,008

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Solution

The third proportional to 2,274,540 and 4,864,008 is: 10,401,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,540 : 4,864,008 = 4,864,008 : x
  2. Step 2: Convert to fraction form
    2,274,540/4,864,008 = 4,864,008/x
  3. Step 3: Cross multiply
    2,274,540x = 4,864,008 × 4,864,008
  4. Step 4: Simplify right side
    2,274,540x = 23,658,573,824,064
  5. Step 5: Solve for x
    x = 23,658,573,824,064/2,274,540
  6. Step 6: Final answer
    x = 10,401,476.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.