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Finding the Third Proportional to 552,853.69 and 1,182,557.25

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Solution

The third proportional to 552,853.69 and 1,182,557.25 is: 2,529,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,853.69 : 1,182,557.25 = 1,182,557.25 : x
  2. Step 2: Convert to fraction form
    552,853.69/1,182,557.25 = 1,182,557.25/x
  3. Step 3: Cross multiply
    552,853.69x = 1,182,557.25 × 1,182,557.25
  4. Step 4: Simplify right side
    552,853.69x = 1,398,441,649,527.56
  5. Step 5: Solve for x
    x = 1,398,441,649,527.56/552,853.69
  6. Step 6: Final answer
    x = 2,529,496.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.