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Finding the Third Proportional to 831,606 and 1,264,905

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Solution

The third proportional to 831,606 and 1,264,905 is: 1,923,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,606 : 1,264,905 = 1,264,905 : x
  2. Step 2: Convert to fraction form
    831,606/1,264,905 = 1,264,905/x
  3. Step 3: Cross multiply
    831,606x = 1,264,905 × 1,264,905
  4. Step 4: Simplify right side
    831,606x = 1,599,984,659,025
  5. Step 5: Solve for x
    x = 1,599,984,659,025/831,606
  6. Step 6: Final answer
    x = 1,923,969.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.