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Finding the Third Proportional to 468,804 and 970,845

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Solution

The third proportional to 468,804 and 970,845 is: 2,010,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,804 : 970,845 = 970,845 : x
  2. Step 2: Convert to fraction form
    468,804/970,845 = 970,845/x
  3. Step 3: Cross multiply
    468,804x = 970,845 × 970,845
  4. Step 4: Simplify right side
    468,804x = 942,540,014,025
  5. Step 5: Solve for x
    x = 942,540,014,025/468,804
  6. Step 6: Final answer
    x = 2,010,520.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.