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Finding the Third Proportional to 511,845 and 1,196,142

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Solution

The third proportional to 511,845 and 1,196,142 is: 2,795,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,845 : 1,196,142 = 1,196,142 : x
  2. Step 2: Convert to fraction form
    511,845/1,196,142 = 1,196,142/x
  3. Step 3: Cross multiply
    511,845x = 1,196,142 × 1,196,142
  4. Step 4: Simplify right side
    511,845x = 1,430,755,684,164
  5. Step 5: Solve for x
    x = 1,430,755,684,164/511,845
  6. Step 6: Final answer
    x = 2,795,290.93

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.