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Finding the Third Proportional to 2,393,900 and 5,119,576

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Solution

The third proportional to 2,393,900 and 5,119,576 is: 10,948,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,900 : 5,119,576 = 5,119,576 : x
  2. Step 2: Convert to fraction form
    2,393,900/5,119,576 = 5,119,576/x
  3. Step 3: Cross multiply
    2,393,900x = 5,119,576 × 5,119,576
  4. Step 4: Simplify right side
    2,393,900x = 26,210,058,419,776
  5. Step 5: Solve for x
    x = 26,210,058,419,776/2,393,900
  6. Step 6: Final answer
    x = 10,948,685.58

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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.