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Finding the Third Proportional to 948,729 and 2,054,922

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Solution

The third proportional to 948,729 and 2,054,922 is: 4,450,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,729 : 2,054,922 = 2,054,922 : x
  2. Step 2: Convert to fraction form
    948,729/2,054,922 = 2,054,922/x
  3. Step 3: Cross multiply
    948,729x = 2,054,922 × 2,054,922
  4. Step 4: Simplify right side
    948,729x = 4,222,704,426,084
  5. Step 5: Solve for x
    x = 4,222,704,426,084/948,729
  6. Step 6: Final answer
    x = 4,450,906.87

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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.