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Finding the Third Proportional to 834,790 and 1,252,357

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Solution

The third proportional to 834,790 and 1,252,357 is: 1,878,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,790 : 1,252,357 = 1,252,357 : x
  2. Step 2: Convert to fraction form
    834,790/1,252,357 = 1,252,357/x
  3. Step 3: Cross multiply
    834,790x = 1,252,357 × 1,252,357
  4. Step 4: Simplify right side
    834,790x = 1,568,398,055,449
  5. Step 5: Solve for x
    x = 1,568,398,055,449/834,790
  6. Step 6: Final answer
    x = 1,878,793.54

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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.