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Finding the Third Proportional to 757,917 and 1,644,462

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Solution

The third proportional to 757,917 and 1,644,462 is: 3,568,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,917 : 1,644,462 = 1,644,462 : x
  2. Step 2: Convert to fraction form
    757,917/1,644,462 = 1,644,462/x
  3. Step 3: Cross multiply
    757,917x = 1,644,462 × 1,644,462
  4. Step 4: Simplify right side
    757,917x = 2,704,255,269,444
  5. Step 5: Solve for x
    x = 2,704,255,269,444/757,917
  6. Step 6: Final answer
    x = 3,568,009.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.