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Finding the Third Proportional to 1,277,454 and 2,003,949

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Solution

The third proportional to 1,277,454 and 2,003,949 is: 3,143,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,454 : 2,003,949 = 2,003,949 : x
  2. Step 2: Convert to fraction form
    1,277,454/2,003,949 = 2,003,949/x
  3. Step 3: Cross multiply
    1,277,454x = 2,003,949 × 2,003,949
  4. Step 4: Simplify right side
    1,277,454x = 4,015,811,594,601
  5. Step 5: Solve for x
    x = 4,015,811,594,601/1,277,454
  6. Step 6: Final answer
    x = 3,143,605.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.