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Finding the Third Proportional to 1,165,673 and 2,508,494

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Solution

The third proportional to 1,165,673 and 2,508,494 is: 5,398,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,673 : 2,508,494 = 2,508,494 : x
  2. Step 2: Convert to fraction form
    1,165,673/2,508,494 = 2,508,494/x
  3. Step 3: Cross multiply
    1,165,673x = 2,508,494 × 2,508,494
  4. Step 4: Simplify right side
    1,165,673x = 6,292,542,148,036
  5. Step 5: Solve for x
    x = 6,292,542,148,036/1,165,673
  6. Step 6: Final answer
    x = 5,398,205.28

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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.