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Finding the Third Proportional to 422,118 and 923,058

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Solution

The third proportional to 422,118 and 923,058 is: 2,018,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,118 : 923,058 = 923,058 : x
  2. Step 2: Convert to fraction form
    422,118/923,058 = 923,058/x
  3. Step 3: Cross multiply
    422,118x = 923,058 × 923,058
  4. Step 4: Simplify right side
    422,118x = 852,036,071,364
  5. Step 5: Solve for x
    x = 852,036,071,364/422,118
  6. Step 6: Final answer
    x = 2,018,478.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.