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Finding the Third Proportional to 4,309,924 and 6,453,016

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Solution

The third proportional to 4,309,924 and 6,453,016 is: 9,661,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,924 : 6,453,016 = 6,453,016 : x
  2. Step 2: Convert to fraction form
    4,309,924/6,453,016 = 6,453,016/x
  3. Step 3: Cross multiply
    4,309,924x = 6,453,016 × 6,453,016
  4. Step 4: Simplify right side
    4,309,924x = 41,641,415,496,256
  5. Step 5: Solve for x
    x = 41,641,415,496,256/4,309,924
  6. Step 6: Final answer
    x = 9,661,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.