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Finding the Third Proportional to 1,682,257.50 and 3,690,206

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Solution

The third proportional to 1,682,257.50 and 3,690,206 is: 8,094,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,257.50 : 3,690,206 = 3,690,206 : x
  2. Step 2: Convert to fraction form
    1,682,257.50/3,690,206 = 3,690,206/x
  3. Step 3: Cross multiply
    1,682,257.50x = 3,690,206 × 3,690,206
  4. Step 4: Simplify right side
    1,682,257.50x = 13,617,620,322,436
  5. Step 5: Solve for x
    x = 13,617,620,322,436/1,682,257.50
  6. Step 6: Final answer
    x = 8,094,848.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.