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Finding the Third Proportional to 831,008 and 1,786,142

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Solution

The third proportional to 831,008 and 1,786,142 is: 3,839,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,008 : 1,786,142 = 1,786,142 : x
  2. Step 2: Convert to fraction form
    831,008/1,786,142 = 1,786,142/x
  3. Step 3: Cross multiply
    831,008x = 1,786,142 × 1,786,142
  4. Step 4: Simplify right side
    831,008x = 3,190,303,244,164
  5. Step 5: Solve for x
    x = 3,190,303,244,164/831,008
  6. Step 6: Final answer
    x = 3,839,076.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.