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Finding the Third Proportional to 3,453,014 and 5,416,759

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Solution

The third proportional to 3,453,014 and 5,416,759 is: 8,497,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,014 : 5,416,759 = 5,416,759 : x
  2. Step 2: Convert to fraction form
    3,453,014/5,416,759 = 5,416,759/x
  3. Step 3: Cross multiply
    3,453,014x = 5,416,759 × 5,416,759
  4. Step 4: Simplify right side
    3,453,014x = 29,341,278,064,081
  5. Step 5: Solve for x
    x = 29,341,278,064,081/3,453,014
  6. Step 6: Final answer
    x = 8,497,294.85

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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.