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Finding the Third Proportional to 865,183 and 1,863,483

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Solution

The third proportional to 865,183 and 1,863,483 is: 4,013,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,183 : 1,863,483 = 1,863,483 : x
  2. Step 2: Convert to fraction form
    865,183/1,863,483 = 1,863,483/x
  3. Step 3: Cross multiply
    865,183x = 1,863,483 × 1,863,483
  4. Step 4: Simplify right side
    865,183x = 3,472,568,891,289
  5. Step 5: Solve for x
    x = 3,472,568,891,289/865,183
  6. Step 6: Final answer
    x = 4,013,681.37

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Why These Related Problems?

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