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Finding the Third Proportional to 419,226 and 904,848

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Solution

The third proportional to 419,226 and 904,848 is: 1,953,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,226 : 904,848 = 904,848 : x
  2. Step 2: Convert to fraction form
    419,226/904,848 = 904,848/x
  3. Step 3: Cross multiply
    419,226x = 904,848 × 904,848
  4. Step 4: Simplify right side
    419,226x = 818,749,903,104
  5. Step 5: Solve for x
    x = 818,749,903,104/419,226
  6. Step 6: Final answer
    x = 1,953,003.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.