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Finding the Third Proportional to 796,770 and 1,201,824

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Solution

The third proportional to 796,770 and 1,201,824 is: 1,812,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,770 : 1,201,824 = 1,201,824 : x
  2. Step 2: Convert to fraction form
    796,770/1,201,824 = 1,201,824/x
  3. Step 3: Cross multiply
    796,770x = 1,201,824 × 1,201,824
  4. Step 4: Simplify right side
    796,770x = 1,444,380,926,976
  5. Step 5: Solve for x
    x = 1,444,380,926,976/796,770
  6. Step 6: Final answer
    x = 1,812,795.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.