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Finding the Third Proportional to 2,393,047 and 5,122,477

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Solution

The third proportional to 2,393,047 and 5,122,477 is: 10,965,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,047 : 5,122,477 = 5,122,477 : x
  2. Step 2: Convert to fraction form
    2,393,047/5,122,477 = 5,122,477/x
  3. Step 3: Cross multiply
    2,393,047x = 5,122,477 × 5,122,477
  4. Step 4: Simplify right side
    2,393,047x = 26,239,770,615,529
  5. Step 5: Solve for x
    x = 26,239,770,615,529/2,393,047
  6. Step 6: Final answer
    x = 10,965,004.29

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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.