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Finding the Third Proportional to 442,920 and 1,039,824

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Solution

The third proportional to 442,920 and 1,039,824 is: 2,441,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920 : 1,039,824 = 1,039,824 : x
  2. Step 2: Convert to fraction form
    442,920/1,039,824 = 1,039,824/x
  3. Step 3: Cross multiply
    442,920x = 1,039,824 × 1,039,824
  4. Step 4: Simplify right side
    442,920x = 1,081,233,950,976
  5. Step 5: Solve for x
    x = 1,081,233,950,976/442,920
  6. Step 6: Final answer
    x = 2,441,149.53

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.