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Finding the Third Proportional to 604,110 and 1,410,915

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Solution

The third proportional to 604,110 and 1,410,915 is: 3,295,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,110 : 1,410,915 = 1,410,915 : x
  2. Step 2: Convert to fraction form
    604,110/1,410,915 = 1,410,915/x
  3. Step 3: Cross multiply
    604,110x = 1,410,915 × 1,410,915
  4. Step 4: Simplify right side
    604,110x = 1,990,681,137,225
  5. Step 5: Solve for x
    x = 1,990,681,137,225/604,110
  6. Step 6: Final answer
    x = 3,295,229.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.