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Finding the Third Proportional to 455,898 and 992,064

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Solution

The third proportional to 455,898 and 992,064 is: 2,158,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,898 : 992,064 = 992,064 : x
  2. Step 2: Convert to fraction form
    455,898/992,064 = 992,064/x
  3. Step 3: Cross multiply
    455,898x = 992,064 × 992,064
  4. Step 4: Simplify right side
    455,898x = 984,190,980,096
  5. Step 5: Solve for x
    x = 984,190,980,096/455,898
  6. Step 6: Final answer
    x = 2,158,796.44

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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.