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Finding the Third Proportional to 831,950 and 1,189,733

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Solution

The third proportional to 831,950 and 1,189,733 is: 1,701,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,950 : 1,189,733 = 1,189,733 : x
  2. Step 2: Convert to fraction form
    831,950/1,189,733 = 1,189,733/x
  3. Step 3: Cross multiply
    831,950x = 1,189,733 × 1,189,733
  4. Step 4: Simplify right side
    831,950x = 1,415,464,611,289
  5. Step 5: Solve for x
    x = 1,415,464,611,289/831,950
  6. Step 6: Final answer
    x = 1,701,381.83

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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.