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Finding the Third Proportional to 665,604 and 1,463,976

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Solution

The third proportional to 665,604 and 1,463,976 is: 3,219,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,604 : 1,463,976 = 1,463,976 : x
  2. Step 2: Convert to fraction form
    665,604/1,463,976 = 1,463,976/x
  3. Step 3: Cross multiply
    665,604x = 1,463,976 × 1,463,976
  4. Step 4: Simplify right side
    665,604x = 2,143,225,728,576
  5. Step 5: Solve for x
    x = 2,143,225,728,576/665,604
  6. Step 6: Final answer
    x = 3,219,971.23

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Why These Related Problems?

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