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Finding the Third Proportional to 416,862 and 896,916

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Solution

The third proportional to 416,862 and 896,916 is: 1,929,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,862 : 896,916 = 896,916 : x
  2. Step 2: Convert to fraction form
    416,862/896,916 = 896,916/x
  3. Step 3: Cross multiply
    416,862x = 896,916 × 896,916
  4. Step 4: Simplify right side
    416,862x = 804,458,311,056
  5. Step 5: Solve for x
    x = 804,458,311,056/416,862
  6. Step 6: Final answer
    x = 1,929,795.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.