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Finding the Third Proportional to 4,219,245 and 6,301,073.25

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Solution

The third proportional to 4,219,245 and 6,301,073.25 is: 9,410,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219,245 : 6,301,073.25 = 6,301,073.25 : x
  2. Step 2: Convert to fraction form
    4,219,245/6,301,073.25 = 6,301,073.25/x
  3. Step 3: Cross multiply
    4,219,245x = 6,301,073.25 × 6,301,073.25
  4. Step 4: Simplify right side
    4,219,245x = 39,703,524,101,865.56
  5. Step 5: Solve for x
    x = 39,703,524,101,865.56/4,219,245
  6. Step 6: Final answer
    x = 9,410,101.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.