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Finding the Third Proportional to 559,845 and 1,214,181

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Solution

The third proportional to 559,845 and 1,214,181 is: 2,633,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,845 : 1,214,181 = 1,214,181 : x
  2. Step 2: Convert to fraction form
    559,845/1,214,181 = 1,214,181/x
  3. Step 3: Cross multiply
    559,845x = 1,214,181 × 1,214,181
  4. Step 4: Simplify right side
    559,845x = 1,474,235,500,761
  5. Step 5: Solve for x
    x = 1,474,235,500,761/559,845
  6. Step 6: Final answer
    x = 2,633,292.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.