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Finding the Third Proportional to 1,270,962 and 1,863,675

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Solution

The third proportional to 1,270,962 and 1,863,675 is: 2,732,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,962 : 1,863,675 = 1,863,675 : x
  2. Step 2: Convert to fraction form
    1,270,962/1,863,675 = 1,863,675/x
  3. Step 3: Cross multiply
    1,270,962x = 1,863,675 × 1,863,675
  4. Step 4: Simplify right side
    1,270,962x = 3,473,284,505,625
  5. Step 5: Solve for x
    x = 3,473,284,505,625/1,270,962
  6. Step 6: Final answer
    x = 2,732,799.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.