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Finding the Third Proportional to 2,005,200 and 4,175,640

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Solution

The third proportional to 2,005,200 and 4,175,640 is: 8,695,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,200 : 4,175,640 = 4,175,640 : x
  2. Step 2: Convert to fraction form
    2,005,200/4,175,640 = 4,175,640/x
  3. Step 3: Cross multiply
    2,005,200x = 4,175,640 × 4,175,640
  4. Step 4: Simplify right side
    2,005,200x = 17,435,969,409,600
  5. Step 5: Solve for x
    x = 17,435,969,409,600/2,005,200
  6. Step 6: Final answer
    x = 8,695,376.73

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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.