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Finding the Third Proportional to 605,925 and 897,170

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Solution

The third proportional to 605,925 and 897,170 is: 1,328,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,925 : 897,170 = 897,170 : x
  2. Step 2: Convert to fraction form
    605,925/897,170 = 897,170/x
  3. Step 3: Cross multiply
    605,925x = 897,170 × 897,170
  4. Step 4: Simplify right side
    605,925x = 804,914,008,900
  5. Step 5: Solve for x
    x = 804,914,008,900/605,925
  6. Step 6: Final answer
    x = 1,328,405.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.