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Finding the Third Proportional to 538,369.88 and 1,182,873.38

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Solution

The third proportional to 538,369.88 and 1,182,873.38 is: 2,598,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,369.88 : 1,182,873.38 = 1,182,873.38 : x
  2. Step 2: Convert to fraction form
    538,369.88/1,182,873.38 = 1,182,873.38/x
  3. Step 3: Cross multiply
    538,369.88x = 1,182,873.38 × 1,182,873.38
  4. Step 4: Simplify right side
    538,369.88x = 1,399,189,421,283.89
  5. Step 5: Solve for x
    x = 1,399,189,421,283.89/538,369.88
  6. Step 6: Final answer
    x = 2,598,937.06

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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.