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Finding the Third Proportional to 606,242 and 905,619

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Solution

The third proportional to 606,242 and 905,619 is: 1,352,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,242 : 905,619 = 905,619 : x
  2. Step 2: Convert to fraction form
    606,242/905,619 = 905,619/x
  3. Step 3: Cross multiply
    606,242x = 905,619 × 905,619
  4. Step 4: Simplify right side
    606,242x = 820,145,773,161
  5. Step 5: Solve for x
    x = 820,145,773,161/606,242
  6. Step 6: Final answer
    x = 1,352,835.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.