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Finding the Third Proportional to 569,539 and 1,252,766

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Solution

The third proportional to 569,539 and 1,252,766 is: 2,755,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,539 : 1,252,766 = 1,252,766 : x
  2. Step 2: Convert to fraction form
    569,539/1,252,766 = 1,252,766/x
  3. Step 3: Cross multiply
    569,539x = 1,252,766 × 1,252,766
  4. Step 4: Simplify right side
    569,539x = 1,569,422,650,756
  5. Step 5: Solve for x
    x = 1,569,422,650,756/569,539
  6. Step 6: Final answer
    x = 2,755,601.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.