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Finding the Third Proportional to 1,464,812 and 3,208,906

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Solution

The third proportional to 1,464,812 and 3,208,906 is: 7,029,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,812 : 3,208,906 = 3,208,906 : x
  2. Step 2: Convert to fraction form
    1,464,812/3,208,906 = 3,208,906/x
  3. Step 3: Cross multiply
    1,464,812x = 3,208,906 × 3,208,906
  4. Step 4: Simplify right side
    1,464,812x = 10,297,077,716,836
  5. Step 5: Solve for x
    x = 10,297,077,716,836/1,464,812
  6. Step 6: Final answer
    x = 7,029,624.09

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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.