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Finding the Third Proportional to 622,014 and 1,356,571

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Solution

The third proportional to 622,014 and 1,356,571 is: 2,958,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,014 : 1,356,571 = 1,356,571 : x
  2. Step 2: Convert to fraction form
    622,014/1,356,571 = 1,356,571/x
  3. Step 3: Cross multiply
    622,014x = 1,356,571 × 1,356,571
  4. Step 4: Simplify right side
    622,014x = 1,840,284,878,041
  5. Step 5: Solve for x
    x = 1,840,284,878,041/622,014
  6. Step 6: Final answer
    x = 2,958,590.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.