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Finding the Third Proportional to 1,846,098 and 3,987,441

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Solution

The third proportional to 1,846,098 and 3,987,441 is: 8,612,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,098 : 3,987,441 = 3,987,441 : x
  2. Step 2: Convert to fraction form
    1,846,098/3,987,441 = 3,987,441/x
  3. Step 3: Cross multiply
    1,846,098x = 3,987,441 × 3,987,441
  4. Step 4: Simplify right side
    1,846,098x = 15,899,685,728,481
  5. Step 5: Solve for x
    x = 15,899,685,728,481/1,846,098
  6. Step 6: Final answer
    x = 8,612,590.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.