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Finding the Third Proportional to 1,085,536 and 2,320,462

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Solution

The third proportional to 1,085,536 and 2,320,462 is: 4,960,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,536 : 2,320,462 = 2,320,462 : x
  2. Step 2: Convert to fraction form
    1,085,536/2,320,462 = 2,320,462/x
  3. Step 3: Cross multiply
    1,085,536x = 2,320,462 × 2,320,462
  4. Step 4: Simplify right side
    1,085,536x = 5,384,543,893,444
  5. Step 5: Solve for x
    x = 5,384,543,893,444/1,085,536
  6. Step 6: Final answer
    x = 4,960,262.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.