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Finding the Third Proportional to 1,600,206 and 3,499,161

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Solution

The third proportional to 1,600,206 and 3,499,161 is: 7,651,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,206 : 3,499,161 = 3,499,161 : x
  2. Step 2: Convert to fraction form
    1,600,206/3,499,161 = 3,499,161/x
  3. Step 3: Cross multiply
    1,600,206x = 3,499,161 × 3,499,161
  4. Step 4: Simplify right side
    1,600,206x = 12,244,127,703,921
  5. Step 5: Solve for x
    x = 12,244,127,703,921/1,600,206
  6. Step 6: Final answer
    x = 7,651,594.67

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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.