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Finding the Third Proportional to 1,289,474 and 2,769,205

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Solution

The third proportional to 1,289,474 and 2,769,205 is: 5,946,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,474 : 2,769,205 = 2,769,205 : x
  2. Step 2: Convert to fraction form
    1,289,474/2,769,205 = 2,769,205/x
  3. Step 3: Cross multiply
    1,289,474x = 2,769,205 × 2,769,205
  4. Step 4: Simplify right side
    1,289,474x = 7,668,496,332,025
  5. Step 5: Solve for x
    x = 7,668,496,332,025/1,289,474
  6. Step 6: Final answer
    x = 5,946,995.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.