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Finding the Third Proportional to 538,936.03 and 1,182,848.06

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Solution

The third proportional to 538,936.03 and 1,182,848.06 is: 2,596,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,936.03 : 1,182,848.06 = 1,182,848.06 : x
  2. Step 2: Convert to fraction form
    538,936.03/1,182,848.06 = 1,182,848.06/x
  3. Step 3: Cross multiply
    538,936.03x = 1,182,848.06 × 1,182,848.06
  4. Step 4: Simplify right side
    538,936.03x = 1,399,129,538,960.00
  5. Step 5: Solve for x
    x = 1,399,129,538,960.00/538,936.03
  6. Step 6: Final answer
    x = 2,596,095.75

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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.