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Finding the Third Proportional to 827,908 and 1,814,792

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Solution

The third proportional to 827,908 and 1,814,792 is: 3,978,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,908 : 1,814,792 = 1,814,792 : x
  2. Step 2: Convert to fraction form
    827,908/1,814,792 = 1,814,792/x
  3. Step 3: Cross multiply
    827,908x = 1,814,792 × 1,814,792
  4. Step 4: Simplify right side
    827,908x = 3,293,470,003,264
  5. Step 5: Solve for x
    x = 3,293,470,003,264/827,908
  6. Step 6: Final answer
    x = 3,978,062.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.