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Finding the Third Proportional to 831,105 and 1,289,427

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Solution

The third proportional to 831,105 and 1,289,427 is: 2,000,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,105 : 1,289,427 = 1,289,427 : x
  2. Step 2: Convert to fraction form
    831,105/1,289,427 = 1,289,427/x
  3. Step 3: Cross multiply
    831,105x = 1,289,427 × 1,289,427
  4. Step 4: Simplify right side
    831,105x = 1,662,621,988,329
  5. Step 5: Solve for x
    x = 1,662,621,988,329/831,105
  6. Step 6: Final answer
    x = 2,000,495.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.