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Finding the Third Proportional to 722,937 and 1,082,217

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Solution

The third proportional to 722,937 and 1,082,217 is: 1,620,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,937 : 1,082,217 = 1,082,217 : x
  2. Step 2: Convert to fraction form
    722,937/1,082,217 = 1,082,217/x
  3. Step 3: Cross multiply
    722,937x = 1,082,217 × 1,082,217
  4. Step 4: Simplify right side
    722,937x = 1,171,193,635,089
  5. Step 5: Solve for x
    x = 1,171,193,635,089/722,937
  6. Step 6: Final answer
    x = 1,620,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.