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Finding the Third Proportional to 1,002,048 and 2,086,848

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Solution

The third proportional to 1,002,048 and 2,086,848 is: 4,346,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,048 : 2,086,848 = 2,086,848 : x
  2. Step 2: Convert to fraction form
    1,002,048/2,086,848 = 2,086,848/x
  3. Step 3: Cross multiply
    1,002,048x = 2,086,848 × 2,086,848
  4. Step 4: Simplify right side
    1,002,048x = 4,354,934,575,104
  5. Step 5: Solve for x
    x = 4,354,934,575,104/1,002,048
  6. Step 6: Final answer
    x = 4,346,033.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.