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Finding the Third Proportional to 458,938 and 994,148

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Solution

The third proportional to 458,938 and 994,148 is: 2,153,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,938 : 994,148 = 994,148 : x
  2. Step 2: Convert to fraction form
    458,938/994,148 = 994,148/x
  3. Step 3: Cross multiply
    458,938x = 994,148 × 994,148
  4. Step 4: Simplify right side
    458,938x = 988,330,245,904
  5. Step 5: Solve for x
    x = 988,330,245,904/458,938
  6. Step 6: Final answer
    x = 2,153,515.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.