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Finding the Third Proportional to 427,616 and 923,032

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Solution

The third proportional to 427,616 and 923,032 is: 1,992,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,616 : 923,032 = 923,032 : x
  2. Step 2: Convert to fraction form
    427,616/923,032 = 923,032/x
  3. Step 3: Cross multiply
    427,616x = 923,032 × 923,032
  4. Step 4: Simplify right side
    427,616x = 851,988,073,024
  5. Step 5: Solve for x
    x = 851,988,073,024/427,616
  6. Step 6: Final answer
    x = 1,992,413.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.