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Finding the Third Proportional to 569,524 and 1,252,735

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Solution

The third proportional to 569,524 and 1,252,735 is: 2,755,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,524 : 1,252,735 = 1,252,735 : x
  2. Step 2: Convert to fraction form
    569,524/1,252,735 = 1,252,735/x
  3. Step 3: Cross multiply
    569,524x = 1,252,735 × 1,252,735
  4. Step 4: Simplify right side
    569,524x = 1,569,344,980,225
  5. Step 5: Solve for x
    x = 1,569,344,980,225/569,524
  6. Step 6: Final answer
    x = 2,755,537.92

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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.