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Finding the Third Proportional to 520,686 and 1,082,844

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Solution

The third proportional to 520,686 and 1,082,844 is: 2,251,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,686 : 1,082,844 = 1,082,844 : x
  2. Step 2: Convert to fraction form
    520,686/1,082,844 = 1,082,844/x
  3. Step 3: Cross multiply
    520,686x = 1,082,844 × 1,082,844
  4. Step 4: Simplify right side
    520,686x = 1,172,551,128,336
  5. Step 5: Solve for x
    x = 1,172,551,128,336/520,686
  6. Step 6: Final answer
    x = 2,251,935.19

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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.