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Finding the Third Proportional to 2,969,116 and 6,505,696

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Solution

The third proportional to 2,969,116 and 6,505,696 is: 14,254,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,116 : 6,505,696 = 6,505,696 : x
  2. Step 2: Convert to fraction form
    2,969,116/6,505,696 = 6,505,696/x
  3. Step 3: Cross multiply
    2,969,116x = 6,505,696 × 6,505,696
  4. Step 4: Simplify right side
    2,969,116x = 42,324,080,444,416
  5. Step 5: Solve for x
    x = 42,324,080,444,416/2,969,116
  6. Step 6: Final answer
    x = 14,254,774.97

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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.