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Finding the Third Proportional to 2,969,170 and 6,505,800

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Solution

The third proportional to 2,969,170 and 6,505,800 is: 14,254,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,170 : 6,505,800 = 6,505,800 : x
  2. Step 2: Convert to fraction form
    2,969,170/6,505,800 = 6,505,800/x
  3. Step 3: Cross multiply
    2,969,170x = 6,505,800 × 6,505,800
  4. Step 4: Simplify right side
    2,969,170x = 42,325,433,640,000
  5. Step 5: Solve for x
    x = 42,325,433,640,000/2,969,170
  6. Step 6: Final answer
    x = 14,254,971.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.