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Finding the Third Proportional to 702,568 and 1,515,728

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Solution

The third proportional to 702,568 and 1,515,728 is: 3,270,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,568 : 1,515,728 = 1,515,728 : x
  2. Step 2: Convert to fraction form
    702,568/1,515,728 = 1,515,728/x
  3. Step 3: Cross multiply
    702,568x = 1,515,728 × 1,515,728
  4. Step 4: Simplify right side
    702,568x = 2,297,431,369,984
  5. Step 5: Solve for x
    x = 2,297,431,369,984/702,568
  6. Step 6: Final answer
    x = 3,270,048.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.