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Finding the Third Proportional to 414,536 and 892,492

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Solution

The third proportional to 414,536 and 892,492 is: 1,921,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,536 : 892,492 = 892,492 : x
  2. Step 2: Convert to fraction form
    414,536/892,492 = 892,492/x
  3. Step 3: Cross multiply
    414,536x = 892,492 × 892,492
  4. Step 4: Simplify right side
    414,536x = 796,541,970,064
  5. Step 5: Solve for x
    x = 796,541,970,064/414,536
  6. Step 6: Final answer
    x = 1,921,526.65

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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.