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Finding the Third Proportional to 416,682 and 911,772

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Solution

The third proportional to 416,682 and 911,772 is: 1,995,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682 : 911,772 = 911,772 : x
  2. Step 2: Convert to fraction form
    416,682/911,772 = 911,772/x
  3. Step 3: Cross multiply
    416,682x = 911,772 × 911,772
  4. Step 4: Simplify right side
    416,682x = 831,328,179,984
  5. Step 5: Solve for x
    x = 831,328,179,984/416,682
  6. Step 6: Final answer
    x = 1,995,114.21

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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.