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Finding the Third Proportional to 633,699.75 and 1,409,081.63

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Solution

The third proportional to 633,699.75 and 1,409,081.63 is: 3,133,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,699.75 : 1,409,081.63 = 1,409,081.63 : x
  2. Step 2: Convert to fraction form
    633,699.75/1,409,081.63 = 1,409,081.63/x
  3. Step 3: Cross multiply
    633,699.75x = 1,409,081.63 × 1,409,081.63
  4. Step 4: Simplify right side
    633,699.75x = 1,985,511,025,912.64
  5. Step 5: Solve for x
    x = 1,985,511,025,912.64/633,699.75
  6. Step 6: Final answer
    x = 3,133,204.69

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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.