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Finding the Third Proportional to 569,533 and 1,252,754

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Solution

The third proportional to 569,533 and 1,252,754 is: 2,755,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,533 : 1,252,754 = 1,252,754 : x
  2. Step 2: Convert to fraction form
    569,533/1,252,754 = 1,252,754/x
  3. Step 3: Cross multiply
    569,533x = 1,252,754 × 1,252,754
  4. Step 4: Simplify right side
    569,533x = 1,569,392,584,516
  5. Step 5: Solve for x
    x = 1,569,392,584,516/569,533
  6. Step 6: Final answer
    x = 2,755,577.96

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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.