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Finding the Third Proportional to 1,700,644.50 and 3,700,206

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Solution

The third proportional to 1,700,644.50 and 3,700,206 is: 8,050,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,644.50 : 3,700,206 = 3,700,206 : x
  2. Step 2: Convert to fraction form
    1,700,644.50/3,700,206 = 3,700,206/x
  3. Step 3: Cross multiply
    1,700,644.50x = 3,700,206 × 3,700,206
  4. Step 4: Simplify right side
    1,700,644.50x = 13,691,524,442,436
  5. Step 5: Solve for x
    x = 13,691,524,442,436/1,700,644.50
  6. Step 6: Final answer
    x = 8,050,785.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.