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Finding the Third Proportional to 2,800,704 and 6,146,016

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Solution

The third proportional to 2,800,704 and 6,146,016 is: 13,487,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800,704 : 6,146,016 = 6,146,016 : x
  2. Step 2: Convert to fraction form
    2,800,704/6,146,016 = 6,146,016/x
  3. Step 3: Cross multiply
    2,800,704x = 6,146,016 × 6,146,016
  4. Step 4: Simplify right side
    2,800,704x = 37,773,512,672,256
  5. Step 5: Solve for x
    x = 37,773,512,672,256/2,800,704
  6. Step 6: Final answer
    x = 13,487,149.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.