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Finding the Third Proportional to 412,213 and 894,926

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Solution

The third proportional to 412,213 and 894,926 is: 1,942,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,213 : 894,926 = 894,926 : x
  2. Step 2: Convert to fraction form
    412,213/894,926 = 894,926/x
  3. Step 3: Cross multiply
    412,213x = 894,926 × 894,926
  4. Step 4: Simplify right side
    412,213x = 800,892,545,476
  5. Step 5: Solve for x
    x = 800,892,545,476/412,213
  6. Step 6: Final answer
    x = 1,942,909.48

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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.