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Finding the Third Proportional to 2,964,608 and 6,464,512

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Solution

The third proportional to 2,964,608 and 6,464,512 is: 14,096,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,608 : 6,464,512 = 6,464,512 : x
  2. Step 2: Convert to fraction form
    2,964,608/6,464,512 = 6,464,512/x
  3. Step 3: Cross multiply
    2,964,608x = 6,464,512 × 6,464,512
  4. Step 4: Simplify right side
    2,964,608x = 41,789,915,398,144
  5. Step 5: Solve for x
    x = 41,789,915,398,144/2,964,608
  6. Step 6: Final answer
    x = 14,096,270.20

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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.