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Finding the Third Proportional to 802,884.75 and 1,229,757

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Solution

The third proportional to 802,884.75 and 1,229,757 is: 1,883,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,884.75 : 1,229,757 = 1,229,757 : x
  2. Step 2: Convert to fraction form
    802,884.75/1,229,757 = 1,229,757/x
  3. Step 3: Cross multiply
    802,884.75x = 1,229,757 × 1,229,757
  4. Step 4: Simplify right side
    802,884.75x = 1,512,302,279,049
  5. Step 5: Solve for x
    x = 1,512,302,279,049/802,884.75
  6. Step 6: Final answer
    x = 1,883,585.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.