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Finding the Third Proportional to 1,420,024 and 3,100,256

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Solution

The third proportional to 1,420,024 and 3,100,256 is: 6,768,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,024 : 3,100,256 = 3,100,256 : x
  2. Step 2: Convert to fraction form
    1,420,024/3,100,256 = 3,100,256/x
  3. Step 3: Cross multiply
    1,420,024x = 3,100,256 × 3,100,256
  4. Step 4: Simplify right side
    1,420,024x = 9,611,587,265,536
  5. Step 5: Solve for x
    x = 9,611,587,265,536/1,420,024
  6. Step 6: Final answer
    x = 6,768,609.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.