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Finding the Third Proportional to 5,589,512 and 8,412,256

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Solution

The third proportional to 5,589,512 and 8,412,256 is: 12,660,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,512 : 8,412,256 = 8,412,256 : x
  2. Step 2: Convert to fraction form
    5,589,512/8,412,256 = 8,412,256/x
  3. Step 3: Cross multiply
    5,589,512x = 8,412,256 × 8,412,256
  4. Step 4: Simplify right side
    5,589,512x = 70,766,051,009,536
  5. Step 5: Solve for x
    x = 70,766,051,009,536/5,589,512
  6. Step 6: Final answer
    x = 12,660,506.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.