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Finding the Third Proportional to 863,024 and 1,834,912

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Solution

The third proportional to 863,024 and 1,834,912 is: 3,901,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,024 : 1,834,912 = 1,834,912 : x
  2. Step 2: Convert to fraction form
    863,024/1,834,912 = 1,834,912/x
  3. Step 3: Cross multiply
    863,024x = 1,834,912 × 1,834,912
  4. Step 4: Simplify right side
    863,024x = 3,366,902,047,744
  5. Step 5: Solve for x
    x = 3,366,902,047,744/863,024
  6. Step 6: Final answer
    x = 3,901,284.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.