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Finding the Third Proportional to 1,419,697.13 and 3,080,204.72

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Solution

The third proportional to 1,419,697.13 and 3,080,204.72 is: 6,682,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,697.13 : 3,080,204.72 = 3,080,204.72 : x
  2. Step 2: Convert to fraction form
    1,419,697.13/3,080,204.72 = 3,080,204.72/x
  3. Step 3: Cross multiply
    1,419,697.13x = 3,080,204.72 × 3,080,204.72
  4. Step 4: Simplify right side
    1,419,697.13x = 9,487,661,109,409.77
  5. Step 5: Solve for x
    x = 9,487,661,109,409.77/1,419,697.13
  6. Step 6: Final answer
    x = 6,682,876.89

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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.