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Finding the Third Proportional to 420,696 and 923,040

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Solution

The third proportional to 420,696 and 923,040 is: 2,025,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,696 : 923,040 = 923,040 : x
  2. Step 2: Convert to fraction form
    420,696/923,040 = 923,040/x
  3. Step 3: Cross multiply
    420,696x = 923,040 × 923,040
  4. Step 4: Simplify right side
    420,696x = 852,002,841,600
  5. Step 5: Solve for x
    x = 852,002,841,600/420,696
  6. Step 6: Final answer
    x = 2,025,222.11

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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.