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Finding the Third Proportional to 865,206 and 1,863,481

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Solution

The third proportional to 865,206 and 1,863,481 is: 4,013,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,206 : 1,863,481 = 1,863,481 : x
  2. Step 2: Convert to fraction form
    865,206/1,863,481 = 1,863,481/x
  3. Step 3: Cross multiply
    865,206x = 1,863,481 × 1,863,481
  4. Step 4: Simplify right side
    865,206x = 3,472,561,437,361
  5. Step 5: Solve for x
    x = 3,472,561,437,361/865,206
  6. Step 6: Final answer
    x = 4,013,566.06

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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.