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Finding the Third Proportional to 1,682,476.31 and 3,669,467.06

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Solution

The third proportional to 1,682,476.31 and 3,669,467.06 is: 8,003,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,476.31 : 3,669,467.06 = 3,669,467.06 : x
  2. Step 2: Convert to fraction form
    1,682,476.31/3,669,467.06 = 3,669,467.06/x
  3. Step 3: Cross multiply
    1,682,476.31x = 3,669,467.06 × 3,669,467.06
  4. Step 4: Simplify right side
    1,682,476.31x = 13,464,988,522,772.38
  5. Step 5: Solve for x
    x = 13,464,988,522,772.38/1,682,476.31
  6. Step 6: Final answer
    x = 8,003,077.62

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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.