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Finding the Third Proportional to 658,770 and 1,438,016

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Solution

The third proportional to 658,770 and 1,438,016 is: 3,139,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,770 : 1,438,016 = 1,438,016 : x
  2. Step 2: Convert to fraction form
    658,770/1,438,016 = 1,438,016/x
  3. Step 3: Cross multiply
    658,770x = 1,438,016 × 1,438,016
  4. Step 4: Simplify right side
    658,770x = 2,067,890,016,256
  5. Step 5: Solve for x
    x = 2,067,890,016,256/658,770
  6. Step 6: Final answer
    x = 3,139,016.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.