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Finding the Third Proportional to 931,980 and 1,396,530

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Solution

The third proportional to 931,980 and 1,396,530 is: 2,092,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,980 : 1,396,530 = 1,396,530 : x
  2. Step 2: Convert to fraction form
    931,980/1,396,530 = 1,396,530/x
  3. Step 3: Cross multiply
    931,980x = 1,396,530 × 1,396,530
  4. Step 4: Simplify right side
    931,980x = 1,950,296,040,900
  5. Step 5: Solve for x
    x = 1,950,296,040,900/931,980
  6. Step 6: Final answer
    x = 2,092,637.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.