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Finding the Third Proportional to 622,728 and 963,144

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Solution

The third proportional to 622,728 and 963,144 is: 1,489,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,728 : 963,144 = 963,144 : x
  2. Step 2: Convert to fraction form
    622,728/963,144 = 963,144/x
  3. Step 3: Cross multiply
    622,728x = 963,144 × 963,144
  4. Step 4: Simplify right side
    622,728x = 927,646,364,736
  5. Step 5: Solve for x
    x = 927,646,364,736/622,728
  6. Step 6: Final answer
    x = 1,489,649.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.