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Finding the Third Proportional to 861,310 and 1,322,098

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Solution

The third proportional to 861,310 and 1,322,098 is: 2,029,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,310 : 1,322,098 = 1,322,098 : x
  2. Step 2: Convert to fraction form
    861,310/1,322,098 = 1,322,098/x
  3. Step 3: Cross multiply
    861,310x = 1,322,098 × 1,322,098
  4. Step 4: Simplify right side
    861,310x = 1,747,943,121,604
  5. Step 5: Solve for x
    x = 1,747,943,121,604/861,310
  6. Step 6: Final answer
    x = 2,029,400.71

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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.