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Finding the Third Proportional to 397,035 and 864,054

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Solution

The third proportional to 397,035 and 864,054 is: 1,880,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,035 : 864,054 = 864,054 : x
  2. Step 2: Convert to fraction form
    397,035/864,054 = 864,054/x
  3. Step 3: Cross multiply
    397,035x = 864,054 × 864,054
  4. Step 4: Simplify right side
    397,035x = 746,589,314,916
  5. Step 5: Solve for x
    x = 746,589,314,916/397,035
  6. Step 6: Final answer
    x = 1,880,411.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.