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Finding the Third Proportional to 434,064 and 967,728

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Solution

The third proportional to 434,064 and 967,728 is: 2,157,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,064 : 967,728 = 967,728 : x
  2. Step 2: Convert to fraction form
    434,064/967,728 = 967,728/x
  3. Step 3: Cross multiply
    434,064x = 967,728 × 967,728
  4. Step 4: Simplify right side
    434,064x = 936,497,481,984
  5. Step 5: Solve for x
    x = 936,497,481,984/434,064
  6. Step 6: Final answer
    x = 2,157,510.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.