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Finding the Third Proportional to 416,618 and 892,285

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Solution

The third proportional to 416,618 and 892,285 is: 1,911,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,618 : 892,285 = 892,285 : x
  2. Step 2: Convert to fraction form
    416,618/892,285 = 892,285/x
  3. Step 3: Cross multiply
    416,618x = 892,285 × 892,285
  4. Step 4: Simplify right side
    416,618x = 796,172,521,225
  5. Step 5: Solve for x
    x = 796,172,521,225/416,618
  6. Step 6: Final answer
    x = 1,911,037.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.