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Finding the Third Proportional to 1,267,811 and 2,819,086

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Solution

The third proportional to 1,267,811 and 2,819,086 is: 6,268,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,811 : 2,819,086 = 2,819,086 : x
  2. Step 2: Convert to fraction form
    1,267,811/2,819,086 = 2,819,086/x
  3. Step 3: Cross multiply
    1,267,811x = 2,819,086 × 2,819,086
  4. Step 4: Simplify right side
    1,267,811x = 7,947,245,875,396
  5. Step 5: Solve for x
    x = 7,947,245,875,396/1,267,811
  6. Step 6: Final answer
    x = 6,268,478.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.