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Finding the Third Proportional to 1,005,137 and 2,167,737

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Solution

The third proportional to 1,005,137 and 2,167,737 is: 4,675,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,137 : 2,167,737 = 2,167,737 : x
  2. Step 2: Convert to fraction form
    1,005,137/2,167,737 = 2,167,737/x
  3. Step 3: Cross multiply
    1,005,137x = 2,167,737 × 2,167,737
  4. Step 4: Simplify right side
    1,005,137x = 4,699,083,701,169
  5. Step 5: Solve for x
    x = 4,699,083,701,169/1,005,137
  6. Step 6: Final answer
    x = 4,675,067.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.