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Finding the Third Proportional to 1,367,984 and 2,969,611

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Solution

The third proportional to 1,367,984 and 2,969,611 is: 6,446,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,984 : 2,969,611 = 2,969,611 : x
  2. Step 2: Convert to fraction form
    1,367,984/2,969,611 = 2,969,611/x
  3. Step 3: Cross multiply
    1,367,984x = 2,969,611 × 2,969,611
  4. Step 4: Simplify right side
    1,367,984x = 8,818,589,491,321
  5. Step 5: Solve for x
    x = 8,818,589,491,321/1,367,984
  6. Step 6: Final answer
    x = 6,446,412.74

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Why These Related Problems?

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