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Finding the Third Proportional to 2,221,936 and 4,758,795

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Solution

The third proportional to 2,221,936 and 4,758,795 is: 10,192,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,936 : 4,758,795 = 4,758,795 : x
  2. Step 2: Convert to fraction form
    2,221,936/4,758,795 = 4,758,795/x
  3. Step 3: Cross multiply
    2,221,936x = 4,758,795 × 4,758,795
  4. Step 4: Simplify right side
    2,221,936x = 22,646,129,852,025
  5. Step 5: Solve for x
    x = 22,646,129,852,025/2,221,936
  6. Step 6: Final answer
    x = 10,192,071.17

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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.