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Finding the Third Proportional to 1,674,048 and 3,577,920

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Solution

The third proportional to 1,674,048 and 3,577,920 is: 7,647,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,048 : 3,577,920 = 3,577,920 : x
  2. Step 2: Convert to fraction form
    1,674,048/3,577,920 = 3,577,920/x
  3. Step 3: Cross multiply
    1,674,048x = 3,577,920 × 3,577,920
  4. Step 4: Simplify right side
    1,674,048x = 12,801,511,526,400
  5. Step 5: Solve for x
    x = 12,801,511,526,400/1,674,048
  6. Step 6: Final answer
    x = 7,647,039.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.