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Finding the Third Proportional to 948,728 and 2,054,920

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Solution

The third proportional to 948,728 and 2,054,920 is: 4,450,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,728 : 2,054,920 = 2,054,920 : x
  2. Step 2: Convert to fraction form
    948,728/2,054,920 = 2,054,920/x
  3. Step 3: Cross multiply
    948,728x = 2,054,920 × 2,054,920
  4. Step 4: Simplify right side
    948,728x = 4,222,696,206,400
  5. Step 5: Solve for x
    x = 4,222,696,206,400/948,728
  6. Step 6: Final answer
    x = 4,450,902.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.