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Finding the Third Proportional to 809,120 and 1,165,512

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Solution

The third proportional to 809,120 and 1,165,512 is: 1,678,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,120 : 1,165,512 = 1,165,512 : x
  2. Step 2: Convert to fraction form
    809,120/1,165,512 = 1,165,512/x
  3. Step 3: Cross multiply
    809,120x = 1,165,512 × 1,165,512
  4. Step 4: Simplify right side
    809,120x = 1,358,418,222,144
  5. Step 5: Solve for x
    x = 1,358,418,222,144/809,120
  6. Step 6: Final answer
    x = 1,678,883.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.