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Finding the Third Proportional to 834,751 and 1,252,302

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Solution

The third proportional to 834,751 and 1,252,302 is: 1,878,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,751 : 1,252,302 = 1,252,302 : x
  2. Step 2: Convert to fraction form
    834,751/1,252,302 = 1,252,302/x
  3. Step 3: Cross multiply
    834,751x = 1,252,302 × 1,252,302
  4. Step 4: Simplify right side
    834,751x = 1,568,260,299,204
  5. Step 5: Solve for x
    x = 1,568,260,299,204/834,751
  6. Step 6: Final answer
    x = 1,878,716.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.