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Finding the Third Proportional to 414,532 and 892,487

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Solution

The third proportional to 414,532 and 892,487 is: 1,921,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532 : 892,487 = 892,487 : x
  2. Step 2: Convert to fraction form
    414,532/892,487 = 892,487/x
  3. Step 3: Cross multiply
    414,532x = 892,487 × 892,487
  4. Step 4: Simplify right side
    414,532x = 796,533,045,169
  5. Step 5: Solve for x
    x = 796,533,045,169/414,532
  6. Step 6: Final answer
    x = 1,921,523.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.