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Finding the Third Proportional to 491,276 and 1,019,480

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Solution

The third proportional to 491,276 and 1,019,480 is: 2,115,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,276 : 1,019,480 = 1,019,480 : x
  2. Step 2: Convert to fraction form
    491,276/1,019,480 = 1,019,480/x
  3. Step 3: Cross multiply
    491,276x = 1,019,480 × 1,019,480
  4. Step 4: Simplify right side
    491,276x = 1,039,339,470,400
  5. Step 5: Solve for x
    x = 1,039,339,470,400/491,276
  6. Step 6: Final answer
    x = 2,115,591.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.