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Finding the Third Proportional to 2,238,400 and 4,796,186

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Solution

The third proportional to 2,238,400 and 4,796,186 is: 10,276,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238,400 : 4,796,186 = 4,796,186 : x
  2. Step 2: Convert to fraction form
    2,238,400/4,796,186 = 4,796,186/x
  3. Step 3: Cross multiply
    2,238,400x = 4,796,186 × 4,796,186
  4. Step 4: Simplify right side
    2,238,400x = 23,003,400,146,596
  5. Step 5: Solve for x
    x = 23,003,400,146,596/2,238,400
  6. Step 6: Final answer
    x = 10,276,715.58

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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.