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Finding the Third Proportional to 569,523 and 1,252,734

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Solution

The third proportional to 569,523 and 1,252,734 is: 2,755,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,523 : 1,252,734 = 1,252,734 : x
  2. Step 2: Convert to fraction form
    569,523/1,252,734 = 1,252,734/x
  3. Step 3: Cross multiply
    569,523x = 1,252,734 × 1,252,734
  4. Step 4: Simplify right side
    569,523x = 1,569,342,474,756
  5. Step 5: Solve for x
    x = 1,569,342,474,756/569,523
  6. Step 6: Final answer
    x = 2,755,538.36

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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.