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Finding the Third Proportional to 576,420 and 1,259,866

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Solution

The third proportional to 576,420 and 1,259,866 is: 2,753,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,420 : 1,259,866 = 1,259,866 : x
  2. Step 2: Convert to fraction form
    576,420/1,259,866 = 1,259,866/x
  3. Step 3: Cross multiply
    576,420x = 1,259,866 × 1,259,866
  4. Step 4: Simplify right side
    576,420x = 1,587,262,337,956
  5. Step 5: Solve for x
    x = 1,587,262,337,956/576,420
  6. Step 6: Final answer
    x = 2,753,655.91

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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.