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Finding the Third Proportional to 538,125 and 1,181,211

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Solution

The third proportional to 538,125 and 1,181,211 is: 2,592,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,125 : 1,181,211 = 1,181,211 : x
  2. Step 2: Convert to fraction form
    538,125/1,181,211 = 1,181,211/x
  3. Step 3: Cross multiply
    538,125x = 1,181,211 × 1,181,211
  4. Step 4: Simplify right side
    538,125x = 1,395,259,426,521
  5. Step 5: Solve for x
    x = 1,395,259,426,521/538,125
  6. Step 6: Final answer
    x = 2,592,816.59

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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.