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Finding the Third Proportional to 2,004,700.50 and 4,206,231

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Solution

The third proportional to 2,004,700.50 and 4,206,231 is: 8,825,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,700.50 : 4,206,231 = 4,206,231 : x
  2. Step 2: Convert to fraction form
    2,004,700.50/4,206,231 = 4,206,231/x
  3. Step 3: Cross multiply
    2,004,700.50x = 4,206,231 × 4,206,231
  4. Step 4: Simplify right side
    2,004,700.50x = 17,692,379,225,361
  5. Step 5: Solve for x
    x = 17,692,379,225,361/2,004,700.50
  6. Step 6: Final answer
    x = 8,825,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.