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Finding the Third Proportional to 605,972 and 922,105

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Solution

The third proportional to 605,972 and 922,105 is: 1,403,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,972 : 922,105 = 922,105 : x
  2. Step 2: Convert to fraction form
    605,972/922,105 = 922,105/x
  3. Step 3: Cross multiply
    605,972x = 922,105 × 922,105
  4. Step 4: Simplify right side
    605,972x = 850,277,631,025
  5. Step 5: Solve for x
    x = 850,277,631,025/605,972
  6. Step 6: Final answer
    x = 1,403,163.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.