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Finding the Third Proportional to 520,677 and 1,082,826

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Solution

The third proportional to 520,677 and 1,082,826 is: 2,251,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,677 : 1,082,826 = 1,082,826 : x
  2. Step 2: Convert to fraction form
    520,677/1,082,826 = 1,082,826/x
  3. Step 3: Cross multiply
    520,677x = 1,082,826 × 1,082,826
  4. Step 4: Simplify right side
    520,677x = 1,172,512,146,276
  5. Step 5: Solve for x
    x = 1,172,512,146,276/520,677
  6. Step 6: Final answer
    x = 2,251,899.25

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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.