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Finding the Third Proportional to 462,212 and 969,136

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Solution

The third proportional to 462,212 and 969,136 is: 2,032,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,212 : 969,136 = 969,136 : x
  2. Step 2: Convert to fraction form
    462,212/969,136 = 969,136/x
  3. Step 3: Cross multiply
    462,212x = 969,136 × 969,136
  4. Step 4: Simplify right side
    462,212x = 939,224,586,496
  5. Step 5: Solve for x
    x = 939,224,586,496/462,212
  6. Step 6: Final answer
    x = 2,032,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.