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Finding the Third Proportional to 599,696.16 and 1,415,672.44

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Solution

The third proportional to 599,696.16 and 1,415,672.44 is: 3,341,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,696.16 : 1,415,672.44 = 1,415,672.44 : x
  2. Step 2: Convert to fraction form
    599,696.16/1,415,672.44 = 1,415,672.44/x
  3. Step 3: Cross multiply
    599,696.16x = 1,415,672.44 × 1,415,672.44
  4. Step 4: Simplify right side
    599,696.16x = 2,004,128,450,297.19
  5. Step 5: Solve for x
    x = 2,004,128,450,297.19/599,696.16
  6. Step 6: Final answer
    x = 3,341,906.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.