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Finding the Third Proportional to 619,082 and 933,593

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Solution

The third proportional to 619,082 and 933,593 is: 1,407,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,082 : 933,593 = 933,593 : x
  2. Step 2: Convert to fraction form
    619,082/933,593 = 933,593/x
  3. Step 3: Cross multiply
    619,082x = 933,593 × 933,593
  4. Step 4: Simplify right side
    619,082x = 871,595,889,649
  5. Step 5: Solve for x
    x = 871,595,889,649/619,082
  6. Step 6: Final answer
    x = 1,407,884.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.