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Finding the Third Proportional to 862,978 and 1,891,844

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Solution

The third proportional to 862,978 and 1,891,844 is: 4,147,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,978 : 1,891,844 = 1,891,844 : x
  2. Step 2: Convert to fraction form
    862,978/1,891,844 = 1,891,844/x
  3. Step 3: Cross multiply
    862,978x = 1,891,844 × 1,891,844
  4. Step 4: Simplify right side
    862,978x = 3,579,073,720,336
  5. Step 5: Solve for x
    x = 3,579,073,720,336/862,978
  6. Step 6: Final answer
    x = 4,147,352.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.