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Finding the Third Proportional to 605,914,817 and 921,089,224

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Solution

The third proportional to 605,914,817 and 921,089,224 is: 1,400,205,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,914,817 : 921,089,224 = 921,089,224 : x
  2. Step 2: Convert to fraction form
    605,914,817/921,089,224 = 921,089,224/x
  3. Step 3: Cross multiply
    605,914,817x = 921,089,224 × 921,089,224
  4. Step 4: Simplify right side
    605,914,817x = 848,405,358,568,922,112
  5. Step 5: Solve for x
    x = 848,405,358,568,922,112/605,914,817
  6. Step 6: Final answer
    x = 1,400,205,663.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.