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Finding the Third Proportional to 520,737 and 1,082,942

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Solution

The third proportional to 520,737 and 1,082,942 is: 2,252,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,737 : 1,082,942 = 1,082,942 : x
  2. Step 2: Convert to fraction form
    520,737/1,082,942 = 1,082,942/x
  3. Step 3: Cross multiply
    520,737x = 1,082,942 × 1,082,942
  4. Step 4: Simplify right side
    520,737x = 1,172,763,375,364
  5. Step 5: Solve for x
    x = 1,172,763,375,364/520,737
  6. Step 6: Final answer
    x = 2,252,122.23

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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.