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Finding the Third Proportional to 1,682,264 and 3,690,217

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Solution

The third proportional to 1,682,264 and 3,690,217 is: 8,094,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,264 : 3,690,217 = 3,690,217 : x
  2. Step 2: Convert to fraction form
    1,682,264/3,690,217 = 3,690,217/x
  3. Step 3: Cross multiply
    1,682,264x = 3,690,217 × 3,690,217
  4. Step 4: Simplify right side
    1,682,264x = 13,617,701,507,089
  5. Step 5: Solve for x
    x = 13,617,701,507,089/1,682,264
  6. Step 6: Final answer
    x = 8,094,865.91

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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.