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Finding the Third Proportional to 633,716.16 and 1,409,121.56

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Solution

The third proportional to 633,716.16 and 1,409,121.56 is: 3,133,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,716.16 : 1,409,121.56 = 1,409,121.56 : x
  2. Step 2: Convert to fraction form
    633,716.16/1,409,121.56 = 1,409,121.56/x
  3. Step 3: Cross multiply
    633,716.16x = 1,409,121.56 × 1,409,121.56
  4. Step 4: Simplify right side
    633,716.16x = 1,985,623,577,902.44
  5. Step 5: Solve for x
    x = 1,985,623,577,902.44/633,716.16
  6. Step 6: Final answer
    x = 3,133,301.18

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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.