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Finding the Third Proportional to 933,867 and 1,311,495

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Solution

The third proportional to 933,867 and 1,311,495 is: 1,841,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,867 : 1,311,495 = 1,311,495 : x
  2. Step 2: Convert to fraction form
    933,867/1,311,495 = 1,311,495/x
  3. Step 3: Cross multiply
    933,867x = 1,311,495 × 1,311,495
  4. Step 4: Simplify right side
    933,867x = 1,720,019,135,025
  5. Step 5: Solve for x
    x = 1,720,019,135,025/933,867
  6. Step 6: Final answer
    x = 1,841,824.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.