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Finding the Third Proportional to 1,682,258 and 3,690,205

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Solution

The third proportional to 1,682,258 and 3,690,205 is: 8,094,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,258 : 3,690,205 = 3,690,205 : x
  2. Step 2: Convert to fraction form
    1,682,258/3,690,205 = 3,690,205/x
  3. Step 3: Cross multiply
    1,682,258x = 3,690,205 × 3,690,205
  4. Step 4: Simplify right side
    1,682,258x = 13,617,612,942,025
  5. Step 5: Solve for x
    x = 13,617,612,942,025/1,682,258
  6. Step 6: Final answer
    x = 8,094,842.14

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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.