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Finding the Third Proportional to 831,954 and 1,189,739

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Solution

The third proportional to 831,954 and 1,189,739 is: 1,701,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,954 : 1,189,739 = 1,189,739 : x
  2. Step 2: Convert to fraction form
    831,954/1,189,739 = 1,189,739/x
  3. Step 3: Cross multiply
    831,954x = 1,189,739 × 1,189,739
  4. Step 4: Simplify right side
    831,954x = 1,415,478,888,121
  5. Step 5: Solve for x
    x = 1,415,478,888,121/831,954
  6. Step 6: Final answer
    x = 1,701,390.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.