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Finding the Third Proportional to 445,182,933 and 593,509,866

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Solution

The third proportional to 445,182,933 and 593,509,866 is: 791,256,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,182,933 : 593,509,866 = 593,509,866 : x
  2. Step 2: Convert to fraction form
    445,182,933/593,509,866 = 593,509,866/x
  3. Step 3: Cross multiply
    445,182,933x = 593,509,866 × 593,509,866
  4. Step 4: Simplify right side
    445,182,933x = 352,253,961,039,337,984
  5. Step 5: Solve for x
    x = 352,253,961,039,337,984/445,182,933
  6. Step 6: Final answer
    x = 791,256,660.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.