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Finding the Third Proportional to 2,567,616 and 3,589,424

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Solution

The third proportional to 2,567,616 and 3,589,424 is: 5,017,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,616 : 3,589,424 = 3,589,424 : x
  2. Step 2: Convert to fraction form
    2,567,616/3,589,424 = 3,589,424/x
  3. Step 3: Cross multiply
    2,567,616x = 3,589,424 × 3,589,424
  4. Step 4: Simplify right side
    2,567,616x = 12,883,964,651,776
  5. Step 5: Solve for x
    x = 12,883,964,651,776/2,567,616
  6. Step 6: Final answer
    x = 5,017,870.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.