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Finding the Third Proportional to 407,136 and 894,592

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Solution

The third proportional to 407,136 and 894,592 is: 1,965,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,136 : 894,592 = 894,592 : x
  2. Step 2: Convert to fraction form
    407,136/894,592 = 894,592/x
  3. Step 3: Cross multiply
    407,136x = 894,592 × 894,592
  4. Step 4: Simplify right side
    407,136x = 800,294,846,464
  5. Step 5: Solve for x
    x = 800,294,846,464/407,136
  6. Step 6: Final answer
    x = 1,965,669.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.