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Finding the Third Proportional to 577,542 and 888,866

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Solution

The third proportional to 577,542 and 888,866 is: 1,368,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,542 : 888,866 = 888,866 : x
  2. Step 2: Convert to fraction form
    577,542/888,866 = 888,866/x
  3. Step 3: Cross multiply
    577,542x = 888,866 × 888,866
  4. Step 4: Simplify right side
    577,542x = 790,082,765,956
  5. Step 5: Solve for x
    x = 790,082,765,956/577,542
  6. Step 6: Final answer
    x = 1,368,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.