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Finding the Third Proportional to 511,848 and 1,195,740

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Solution

The third proportional to 511,848 and 1,195,740 is: 2,793,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,848 : 1,195,740 = 1,195,740 : x
  2. Step 2: Convert to fraction form
    511,848/1,195,740 = 1,195,740/x
  3. Step 3: Cross multiply
    511,848x = 1,195,740 × 1,195,740
  4. Step 4: Simplify right side
    511,848x = 1,429,794,147,600
  5. Step 5: Solve for x
    x = 1,429,794,147,600/511,848
  6. Step 6: Final answer
    x = 2,793,395.98

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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.