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Finding the Third Proportional to 940,539 and 2,057,766

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Solution

The third proportional to 940,539 and 2,057,766 is: 4,502,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,539 : 2,057,766 = 2,057,766 : x
  2. Step 2: Convert to fraction form
    940,539/2,057,766 = 2,057,766/x
  3. Step 3: Cross multiply
    940,539x = 2,057,766 × 2,057,766
  4. Step 4: Simplify right side
    940,539x = 4,234,400,910,756
  5. Step 5: Solve for x
    x = 4,234,400,910,756/940,539
  6. Step 6: Final answer
    x = 4,502,100.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.