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Finding the Third Proportional to 1,072,896 and 2,233,080

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Solution

The third proportional to 1,072,896 and 2,233,080 is: 4,647,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,896 : 2,233,080 = 2,233,080 : x
  2. Step 2: Convert to fraction form
    1,072,896/2,233,080 = 2,233,080/x
  3. Step 3: Cross multiply
    1,072,896x = 2,233,080 × 2,233,080
  4. Step 4: Simplify right side
    1,072,896x = 4,986,646,286,400
  5. Step 5: Solve for x
    x = 4,986,646,286,400/1,072,896
  6. Step 6: Final answer
    x = 4,647,837.52

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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.