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Finding the Third Proportional to 2,964,606 and 6,464,508

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Solution

The third proportional to 2,964,606 and 6,464,508 is: 14,096,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,606 : 6,464,508 = 6,464,508 : x
  2. Step 2: Convert to fraction form
    2,964,606/6,464,508 = 6,464,508/x
  3. Step 3: Cross multiply
    2,964,606x = 6,464,508 × 6,464,508
  4. Step 4: Simplify right side
    2,964,606x = 41,789,863,682,064
  5. Step 5: Solve for x
    x = 41,789,863,682,064/2,964,606
  6. Step 6: Final answer
    x = 14,096,262.26

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Why These Related Problems?

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