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Finding the Third Proportional to 520,751 and 1,082,965

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Solution

The third proportional to 520,751 and 1,082,965 is: 2,252,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,751 : 1,082,965 = 1,082,965 : x
  2. Step 2: Convert to fraction form
    520,751/1,082,965 = 1,082,965/x
  3. Step 3: Cross multiply
    520,751x = 1,082,965 × 1,082,965
  4. Step 4: Simplify right side
    520,751x = 1,172,813,191,225
  5. Step 5: Solve for x
    x = 1,172,813,191,225/520,751
  6. Step 6: Final answer
    x = 2,252,157.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.