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Finding the Third Proportional to 416,617 and 892,283

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Solution

The third proportional to 416,617 and 892,283 is: 1,911,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,617 : 892,283 = 892,283 : x
  2. Step 2: Convert to fraction form
    416,617/892,283 = 892,283/x
  3. Step 3: Cross multiply
    416,617x = 892,283 × 892,283
  4. Step 4: Simplify right side
    416,617x = 796,168,952,089
  5. Step 5: Solve for x
    x = 796,168,952,089/416,617
  6. Step 6: Final answer
    x = 1,911,033.28

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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.