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Finding the Third Proportional to 1,419,751.13 and 3,079,049.63

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Solution

The third proportional to 1,419,751.13 and 3,079,049.63 is: 6,677,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,751.13 : 3,079,049.63 = 3,079,049.63 : x
  2. Step 2: Convert to fraction form
    1,419,751.13/3,079,049.63 = 3,079,049.63/x
  3. Step 3: Cross multiply
    1,419,751.13x = 3,079,049.63 × 3,079,049.63
  4. Step 4: Simplify right side
    1,419,751.13x = 9,480,546,593,212.64
  5. Step 5: Solve for x
    x = 9,480,546,593,212.64/1,419,751.13
  6. Step 6: Final answer
    x = 6,677,611.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.