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Finding the Third Proportional to 416,613 and 892,274.06

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Solution

The third proportional to 416,613 and 892,274.06 is: 1,911,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,613 : 892,274.06 = 892,274.06 : x
  2. Step 2: Convert to fraction form
    416,613/892,274.06 = 892,274.06/x
  3. Step 3: Cross multiply
    416,613x = 892,274.06 × 892,274.06
  4. Step 4: Simplify right side
    416,613x = 796,153,002,610.25
  5. Step 5: Solve for x
    x = 796,153,002,610.25/416,613
  6. Step 6: Final answer
    x = 1,911,013.34

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