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Finding the Third Proportional to 606,096 and 909,144

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Solution

The third proportional to 606,096 and 909,144 is: 1,363,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,096 : 909,144 = 909,144 : x
  2. Step 2: Convert to fraction form
    606,096/909,144 = 909,144/x
  3. Step 3: Cross multiply
    606,096x = 909,144 × 909,144
  4. Step 4: Simplify right side
    606,096x = 826,542,812,736
  5. Step 5: Solve for x
    x = 826,542,812,736/606,096
  6. Step 6: Final answer
    x = 1,363,716

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.