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Finding the Third Proportional to 482,785 and 1,027,939

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Solution

The third proportional to 482,785 and 1,027,939 is: 2,188,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,785 : 1,027,939 = 1,027,939 : x
  2. Step 2: Convert to fraction form
    482,785/1,027,939 = 1,027,939/x
  3. Step 3: Cross multiply
    482,785x = 1,027,939 × 1,027,939
  4. Step 4: Simplify right side
    482,785x = 1,056,658,587,721
  5. Step 5: Solve for x
    x = 1,056,658,587,721/482,785
  6. Step 6: Final answer
    x = 2,188,673.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.