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Finding the Third Proportional to 617,538 and 923,699

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Solution

The third proportional to 617,538 and 923,699 is: 1,381,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,538 : 923,699 = 923,699 : x
  2. Step 2: Convert to fraction form
    617,538/923,699 = 923,699/x
  3. Step 3: Cross multiply
    617,538x = 923,699 × 923,699
  4. Step 4: Simplify right side
    617,538x = 853,219,842,601
  5. Step 5: Solve for x
    x = 853,219,842,601/617,538
  6. Step 6: Final answer
    x = 1,381,647.51

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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.