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Finding the Third Proportional to 419,610 and 905,558

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Solution

The third proportional to 419,610 and 905,558 is: 1,954,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,610 : 905,558 = 905,558 : x
  2. Step 2: Convert to fraction form
    419,610/905,558 = 905,558/x
  3. Step 3: Cross multiply
    419,610x = 905,558 × 905,558
  4. Step 4: Simplify right side
    419,610x = 820,035,291,364
  5. Step 5: Solve for x
    x = 820,035,291,364/419,610
  6. Step 6: Final answer
    x = 1,954,279.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.