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Finding the Third Proportional to 2,004,709 and 4,206,247

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Solution

The third proportional to 2,004,709 and 4,206,247 is: 8,825,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,709 : 4,206,247 = 4,206,247 : x
  2. Step 2: Convert to fraction form
    2,004,709/4,206,247 = 4,206,247/x
  3. Step 3: Cross multiply
    2,004,709x = 4,206,247 × 4,206,247
  4. Step 4: Simplify right side
    2,004,709x = 17,692,513,825,009
  5. Step 5: Solve for x
    x = 17,692,513,825,009/2,004,709
  6. Step 6: Final answer
    x = 8,825,477.33

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