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Finding the Third Proportional to 1,314,170 and 2,824,668

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Solution

The third proportional to 1,314,170 and 2,824,668 is: 6,071,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,170 : 2,824,668 = 2,824,668 : x
  2. Step 2: Convert to fraction form
    1,314,170/2,824,668 = 2,824,668/x
  3. Step 3: Cross multiply
    1,314,170x = 2,824,668 × 2,824,668
  4. Step 4: Simplify right side
    1,314,170x = 7,978,749,310,224
  5. Step 5: Solve for x
    x = 7,978,749,310,224/1,314,170
  6. Step 6: Final answer
    x = 6,071,322.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.