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Finding the Third Proportional to 3,287,834 and 5,158,941

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Solution

The third proportional to 3,287,834 and 5,158,941 is: 8,094,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,834 : 5,158,941 = 5,158,941 : x
  2. Step 2: Convert to fraction form
    3,287,834/5,158,941 = 5,158,941/x
  3. Step 3: Cross multiply
    3,287,834x = 5,158,941 × 5,158,941
  4. Step 4: Simplify right side
    3,287,834x = 26,614,672,241,481
  5. Step 5: Solve for x
    x = 26,614,672,241,481/3,287,834
  6. Step 6: Final answer
    x = 8,094,895.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.