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Finding the Third Proportional to 604,218 and 923,823

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Solution

The third proportional to 604,218 and 923,823 is: 1,412,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,218 : 923,823 = 923,823 : x
  2. Step 2: Convert to fraction form
    604,218/923,823 = 923,823/x
  3. Step 3: Cross multiply
    604,218x = 923,823 × 923,823
  4. Step 4: Simplify right side
    604,218x = 853,448,935,329
  5. Step 5: Solve for x
    x = 853,448,935,329/604,218
  6. Step 6: Final answer
    x = 1,412,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.