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Finding the Third Proportional to 2,557,520 and 5,540,722

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Solution

The third proportional to 2,557,520 and 5,540,722 is: 12,003,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,520 : 5,540,722 = 5,540,722 : x
  2. Step 2: Convert to fraction form
    2,557,520/5,540,722 = 5,540,722/x
  3. Step 3: Cross multiply
    2,557,520x = 5,540,722 × 5,540,722
  4. Step 4: Simplify right side
    2,557,520x = 30,699,600,281,284
  5. Step 5: Solve for x
    x = 30,699,600,281,284/2,557,520
  6. Step 6: Final answer
    x = 12,003,659.91

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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.