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Finding the Third Proportional to 1,461,474 and 3,187,845

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Solution

The third proportional to 1,461,474 and 3,187,845 is: 6,953,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,474 : 3,187,845 = 3,187,845 : x
  2. Step 2: Convert to fraction form
    1,461,474/3,187,845 = 3,187,845/x
  3. Step 3: Cross multiply
    1,461,474x = 3,187,845 × 3,187,845
  4. Step 4: Simplify right side
    1,461,474x = 10,162,355,744,025
  5. Step 5: Solve for x
    x = 10,162,355,744,025/1,461,474
  6. Step 6: Final answer
    x = 6,953,497.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.