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Finding the Third Proportional to 931,976 and 1,396,524

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Solution

The third proportional to 931,976 and 1,396,524 is: 2,092,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,976 : 1,396,524 = 1,396,524 : x
  2. Step 2: Convert to fraction form
    931,976/1,396,524 = 1,396,524/x
  3. Step 3: Cross multiply
    931,976x = 1,396,524 × 1,396,524
  4. Step 4: Simplify right side
    931,976x = 1,950,279,282,576
  5. Step 5: Solve for x
    x = 1,950,279,282,576/931,976
  6. Step 6: Final answer
    x = 2,092,628.22

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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.