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Finding the Third Proportional to 948,256 and 2,054,624

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Solution

The third proportional to 948,256 and 2,054,624 is: 4,451,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,256 : 2,054,624 = 2,054,624 : x
  2. Step 2: Convert to fraction form
    948,256/2,054,624 = 2,054,624/x
  3. Step 3: Cross multiply
    948,256x = 2,054,624 × 2,054,624
  4. Step 4: Simplify right side
    948,256x = 4,221,479,781,376
  5. Step 5: Solve for x
    x = 4,221,479,781,376/948,256
  6. Step 6: Final answer
    x = 4,451,835.56

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