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Finding the Third Proportional to 827,568 and 1,773,252

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Solution

The third proportional to 827,568 and 1,773,252 is: 3,799,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,568 : 1,773,252 = 1,773,252 : x
  2. Step 2: Convert to fraction form
    827,568/1,773,252 = 1,773,252/x
  3. Step 3: Cross multiply
    827,568x = 1,773,252 × 1,773,252
  4. Step 4: Simplify right side
    827,568x = 3,144,422,655,504
  5. Step 5: Solve for x
    x = 3,144,422,655,504/827,568
  6. Step 6: Final answer
    x = 3,799,594.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.