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Finding the Third Proportional to 1,368,018 and 2,969,682

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Solution

The third proportional to 1,368,018 and 2,969,682 is: 6,446,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,018 : 2,969,682 = 2,969,682 : x
  2. Step 2: Convert to fraction form
    1,368,018/2,969,682 = 2,969,682/x
  3. Step 3: Cross multiply
    1,368,018x = 2,969,682 × 2,969,682
  4. Step 4: Simplify right side
    1,368,018x = 8,819,011,181,124
  5. Step 5: Solve for x
    x = 8,819,011,181,124/1,368,018
  6. Step 6: Final answer
    x = 6,446,560.78

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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.