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Finding the Third Proportional to 491,264 and 1,019,456

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Solution

The third proportional to 491,264 and 1,019,456 is: 2,115,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,264 : 1,019,456 = 1,019,456 : x
  2. Step 2: Convert to fraction form
    491,264/1,019,456 = 1,019,456/x
  3. Step 3: Cross multiply
    491,264x = 1,019,456 × 1,019,456
  4. Step 4: Simplify right side
    491,264x = 1,039,290,535,936
  5. Step 5: Solve for x
    x = 1,039,290,535,936/491,264
  6. Step 6: Final answer
    x = 2,115,543.85

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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.