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Finding the Third Proportional to 411,926 and 892,358

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Solution

The third proportional to 411,926 and 892,358 is: 1,933,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,926 : 892,358 = 892,358 : x
  2. Step 2: Convert to fraction form
    411,926/892,358 = 892,358/x
  3. Step 3: Cross multiply
    411,926x = 892,358 × 892,358
  4. Step 4: Simplify right side
    411,926x = 796,302,800,164
  5. Step 5: Solve for x
    x = 796,302,800,164/411,926
  6. Step 6: Final answer
    x = 1,933,121.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.