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Finding the Third Proportional to 865,170 and 1,863,456

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Solution

The third proportional to 865,170 and 1,863,456 is: 4,013,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,170 : 1,863,456 = 1,863,456 : x
  2. Step 2: Convert to fraction form
    865,170/1,863,456 = 1,863,456/x
  3. Step 3: Cross multiply
    865,170x = 1,863,456 × 1,863,456
  4. Step 4: Simplify right side
    865,170x = 3,472,468,263,936
  5. Step 5: Solve for x
    x = 3,472,468,263,936/865,170
  6. Step 6: Final answer
    x = 4,013,625.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.