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Finding the Third Proportional to 1,309,416 and 1,968,993

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Solution

The third proportional to 1,309,416 and 1,968,993 is: 2,960,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,416 : 1,968,993 = 1,968,993 : x
  2. Step 2: Convert to fraction form
    1,309,416/1,968,993 = 1,968,993/x
  3. Step 3: Cross multiply
    1,309,416x = 1,968,993 × 1,968,993
  4. Step 4: Simplify right side
    1,309,416x = 3,876,933,434,049
  5. Step 5: Solve for x
    x = 3,876,933,434,049/1,309,416
  6. Step 6: Final answer
    x = 2,960,811.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.