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Finding the Third Proportional to 538,379 and 1,182,894

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Solution

The third proportional to 538,379 and 1,182,894 is: 2,598,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,379 : 1,182,894 = 1,182,894 : x
  2. Step 2: Convert to fraction form
    538,379/1,182,894 = 1,182,894/x
  3. Step 3: Cross multiply
    538,379x = 1,182,894 × 1,182,894
  4. Step 4: Simplify right side
    538,379x = 1,399,238,215,236
  5. Step 5: Solve for x
    x = 1,399,238,215,236/538,379
  6. Step 6: Final answer
    x = 2,598,983.64

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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.