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Finding the Third Proportional to 407,860 and 894,512

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Solution

The third proportional to 407,860 and 894,512 is: 1,961,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,860 : 894,512 = 894,512 : x
  2. Step 2: Convert to fraction form
    407,860/894,512 = 894,512/x
  3. Step 3: Cross multiply
    407,860x = 894,512 × 894,512
  4. Step 4: Simplify right side
    407,860x = 800,151,718,144
  5. Step 5: Solve for x
    x = 800,151,718,144/407,860
  6. Step 6: Final answer
    x = 1,961,829.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.