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Finding the Third Proportional to 412,136 and 869,296

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Solution

The third proportional to 412,136 and 869,296 is: 1,833,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,136 : 869,296 = 869,296 : x
  2. Step 2: Convert to fraction form
    412,136/869,296 = 869,296/x
  3. Step 3: Cross multiply
    412,136x = 869,296 × 869,296
  4. Step 4: Simplify right side
    412,136x = 755,675,535,616
  5. Step 5: Solve for x
    x = 755,675,535,616/412,136
  6. Step 6: Final answer
    x = 1,833,558.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.