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Finding the Third Proportional to 1,682,259 and 3,690,210

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Solution

The third proportional to 1,682,259 and 3,690,210 is: 8,094,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,259 : 3,690,210 = 3,690,210 : x
  2. Step 2: Convert to fraction form
    1,682,259/3,690,210 = 3,690,210/x
  3. Step 3: Cross multiply
    1,682,259x = 3,690,210 × 3,690,210
  4. Step 4: Simplify right side
    1,682,259x = 13,617,649,844,100
  5. Step 5: Solve for x
    x = 13,617,649,844,100/1,682,259
  6. Step 6: Final answer
    x = 8,094,859.26

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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.