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Finding the Third Proportional to 805,800 and 1,253,414

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Solution

The third proportional to 805,800 and 1,253,414 is: 1,949,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,800 : 1,253,414 = 1,253,414 : x
  2. Step 2: Convert to fraction form
    805,800/1,253,414 = 1,253,414/x
  3. Step 3: Cross multiply
    805,800x = 1,253,414 × 1,253,414
  4. Step 4: Simplify right side
    805,800x = 1,571,046,655,396
  5. Step 5: Solve for x
    x = 1,571,046,655,396/805,800
  6. Step 6: Final answer
    x = 1,949,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.