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Finding the Third Proportional to 416,168 and 911,632

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Solution

The third proportional to 416,168 and 911,632 is: 1,996,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,168 : 911,632 = 911,632 : x
  2. Step 2: Convert to fraction form
    416,168/911,632 = 911,632/x
  3. Step 3: Cross multiply
    416,168x = 911,632 × 911,632
  4. Step 4: Simplify right side
    416,168x = 831,072,903,424
  5. Step 5: Solve for x
    x = 831,072,903,424/416,168
  6. Step 6: Final answer
    x = 1,996,964.94

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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.