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Finding the Third Proportional to 2,393,067 and 5,122,513

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Solution

The third proportional to 2,393,067 and 5,122,513 is: 10,965,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,067 : 5,122,513 = 5,122,513 : x
  2. Step 2: Convert to fraction form
    2,393,067/5,122,513 = 5,122,513/x
  3. Step 3: Cross multiply
    2,393,067x = 5,122,513 × 5,122,513
  4. Step 4: Simplify right side
    2,393,067x = 26,240,139,435,169
  5. Step 5: Solve for x
    x = 26,240,139,435,169/2,393,067
  6. Step 6: Final answer
    x = 10,965,066.77

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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.