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Finding the Third Proportional to 1,252,983 and 1,908,849

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Solution

The third proportional to 1,252,983 and 1,908,849 is: 2,908,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,983 : 1,908,849 = 1,908,849 : x
  2. Step 2: Convert to fraction form
    1,252,983/1,908,849 = 1,908,849/x
  3. Step 3: Cross multiply
    1,252,983x = 1,908,849 × 1,908,849
  4. Step 4: Simplify right side
    1,252,983x = 3,643,704,504,801
  5. Step 5: Solve for x
    x = 3,643,704,504,801/1,252,983
  6. Step 6: Final answer
    x = 2,908,023.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.