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Finding the Third Proportional to 1,410,916 and 2,161,950

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Solution

The third proportional to 1,410,916 and 2,161,950 is: 3,312,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,916 : 2,161,950 = 2,161,950 : x
  2. Step 2: Convert to fraction form
    1,410,916/2,161,950 = 2,161,950/x
  3. Step 3: Cross multiply
    1,410,916x = 2,161,950 × 2,161,950
  4. Step 4: Simplify right side
    1,410,916x = 4,674,027,802,500
  5. Step 5: Solve for x
    x = 4,674,027,802,500/1,410,916
  6. Step 6: Final answer
    x = 3,312,761.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.