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Finding the Third Proportional to 2,089,713 and 4,267,980

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Solution

The third proportional to 2,089,713 and 4,267,980 is: 8,716,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,713 : 4,267,980 = 4,267,980 : x
  2. Step 2: Convert to fraction form
    2,089,713/4,267,980 = 4,267,980/x
  3. Step 3: Cross multiply
    2,089,713x = 4,267,980 × 4,267,980
  4. Step 4: Simplify right side
    2,089,713x = 18,215,653,280,400
  5. Step 5: Solve for x
    x = 18,215,653,280,400/2,089,713
  6. Step 6: Final answer
    x = 8,716,820.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.