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Finding the Third Proportional to 643,012 and 1,396,728

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Solution

The third proportional to 643,012 and 1,396,728 is: 3,033,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,012 : 1,396,728 = 1,396,728 : x
  2. Step 2: Convert to fraction form
    643,012/1,396,728 = 1,396,728/x
  3. Step 3: Cross multiply
    643,012x = 1,396,728 × 1,396,728
  4. Step 4: Simplify right side
    643,012x = 1,950,849,105,984
  5. Step 5: Solve for x
    x = 1,950,849,105,984/643,012
  6. Step 6: Final answer
    x = 3,033,923.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.