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Finding the Third Proportional to 458,948 and 994,150

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Solution

The third proportional to 458,948 and 994,150 is: 2,153,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,948 : 994,150 = 994,150 : x
  2. Step 2: Convert to fraction form
    458,948/994,150 = 994,150/x
  3. Step 3: Cross multiply
    458,948x = 994,150 × 994,150
  4. Step 4: Simplify right side
    458,948x = 988,334,222,500
  5. Step 5: Solve for x
    x = 988,334,222,500/458,948
  6. Step 6: Final answer
    x = 2,153,477.57

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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.