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Finding the Third Proportional to 1,449,728 and 3,074,848

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Solution

The third proportional to 1,449,728 and 3,074,848 is: 6,521,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,728 : 3,074,848 = 3,074,848 : x
  2. Step 2: Convert to fraction form
    1,449,728/3,074,848 = 3,074,848/x
  3. Step 3: Cross multiply
    1,449,728x = 3,074,848 × 3,074,848
  4. Step 4: Simplify right side
    1,449,728x = 9,454,690,223,104
  5. Step 5: Solve for x
    x = 9,454,690,223,104/1,449,728
  6. Step 6: Final answer
    x = 6,521,699.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.