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Finding the Third Proportional to 1,083,383 and 2,306,734

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Solution

The third proportional to 1,083,383 and 2,306,734 is: 4,911,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,383 : 2,306,734 = 2,306,734 : x
  2. Step 2: Convert to fraction form
    1,083,383/2,306,734 = 2,306,734/x
  3. Step 3: Cross multiply
    1,083,383x = 2,306,734 × 2,306,734
  4. Step 4: Simplify right side
    1,083,383x = 5,321,021,746,756
  5. Step 5: Solve for x
    x = 5,321,021,746,756/1,083,383
  6. Step 6: Final answer
    x = 4,911,487.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.