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Finding the Third Proportional to 1,723,364 and 2,414,977

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Solution

The third proportional to 1,723,364 and 2,414,977 is: 3,384,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,364 : 2,414,977 = 2,414,977 : x
  2. Step 2: Convert to fraction form
    1,723,364/2,414,977 = 2,414,977/x
  3. Step 3: Cross multiply
    1,723,364x = 2,414,977 × 2,414,977
  4. Step 4: Simplify right side
    1,723,364x = 5,832,113,910,529
  5. Step 5: Solve for x
    x = 5,832,113,910,529/1,723,364
  6. Step 6: Final answer
    x = 3,384,145.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.