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Finding the Third Proportional to 2,557,524 and 5,540,729

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Solution

The third proportional to 2,557,524 and 5,540,729 is: 12,003,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,524 : 5,540,729 = 5,540,729 : x
  2. Step 2: Convert to fraction form
    2,557,524/5,540,729 = 5,540,729/x
  3. Step 3: Cross multiply
    2,557,524x = 5,540,729 × 5,540,729
  4. Step 4: Simplify right side
    2,557,524x = 30,699,677,851,441
  5. Step 5: Solve for x
    x = 30,699,677,851,441/2,557,524
  6. Step 6: Final answer
    x = 12,003,671.46

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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.