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Finding the Third Proportional to 823,880 and 1,774,174

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Solution

The third proportional to 823,880 and 1,774,174 is: 3,820,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,880 : 1,774,174 = 1,774,174 : x
  2. Step 2: Convert to fraction form
    823,880/1,774,174 = 1,774,174/x
  3. Step 3: Cross multiply
    823,880x = 1,774,174 × 1,774,174
  4. Step 4: Simplify right side
    823,880x = 3,147,693,382,276
  5. Step 5: Solve for x
    x = 3,147,693,382,276/823,880
  6. Step 6: Final answer
    x = 3,820,572.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.