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Finding the Third Proportional to 1,367,986 and 2,969,615

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Solution

The third proportional to 1,367,986 and 2,969,615 is: 6,446,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,986 : 2,969,615 = 2,969,615 : x
  2. Step 2: Convert to fraction form
    1,367,986/2,969,615 = 2,969,615/x
  3. Step 3: Cross multiply
    1,367,986x = 2,969,615 × 2,969,615
  4. Step 4: Simplify right side
    1,367,986x = 8,818,613,248,225
  5. Step 5: Solve for x
    x = 8,818,613,248,225/1,367,986
  6. Step 6: Final answer
    x = 6,446,420.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.