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Finding the Third Proportional to 831,097 and 1,819,836

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Solution

The third proportional to 831,097 and 1,819,836 is: 3,984,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,097 : 1,819,836 = 1,819,836 : x
  2. Step 2: Convert to fraction form
    831,097/1,819,836 = 1,819,836/x
  3. Step 3: Cross multiply
    831,097x = 1,819,836 × 1,819,836
  4. Step 4: Simplify right side
    831,097x = 3,311,803,066,896
  5. Step 5: Solve for x
    x = 3,311,803,066,896/831,097
  6. Step 6: Final answer
    x = 3,984,857.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.