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Finding the Third Proportional to 411,924 and 892,354

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Solution

The third proportional to 411,924 and 892,354 is: 1,933,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,924 : 892,354 = 892,354 : x
  2. Step 2: Convert to fraction form
    411,924/892,354 = 892,354/x
  3. Step 3: Cross multiply
    411,924x = 892,354 × 892,354
  4. Step 4: Simplify right side
    411,924x = 796,295,661,316
  5. Step 5: Solve for x
    x = 796,295,661,316/411,924
  6. Step 6: Final answer
    x = 1,933,113.05

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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.