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Finding the Third Proportional to 1,461,941 and 2,192,913

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Solution

The third proportional to 1,461,941 and 2,192,913 is: 3,289,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,941 : 2,192,913 = 2,192,913 : x
  2. Step 2: Convert to fraction form
    1,461,941/2,192,913 = 2,192,913/x
  3. Step 3: Cross multiply
    1,461,941x = 2,192,913 × 2,192,913
  4. Step 4: Simplify right side
    1,461,941x = 4,808,867,425,569
  5. Step 5: Solve for x
    x = 4,808,867,425,569/1,461,941
  6. Step 6: Final answer
    x = 3,289,371.75

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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.