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Finding the Third Proportional to 632,844 and 1,405,662

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Solution

The third proportional to 632,844 and 1,405,662 is: 3,122,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,844 : 1,405,662 = 1,405,662 : x
  2. Step 2: Convert to fraction form
    632,844/1,405,662 = 1,405,662/x
  3. Step 3: Cross multiply
    632,844x = 1,405,662 × 1,405,662
  4. Step 4: Simplify right side
    632,844x = 1,975,885,658,244
  5. Step 5: Solve for x
    x = 1,975,885,658,244/632,844
  6. Step 6: Final answer
    x = 3,122,231.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.