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Finding the Third Proportional to 622,168 and 1,332,458

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Solution

The third proportional to 622,168 and 1,332,458 is: 2,853,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,168 : 1,332,458 = 1,332,458 : x
  2. Step 2: Convert to fraction form
    622,168/1,332,458 = 1,332,458/x
  3. Step 3: Cross multiply
    622,168x = 1,332,458 × 1,332,458
  4. Step 4: Simplify right side
    622,168x = 1,775,444,321,764
  5. Step 5: Solve for x
    x = 1,775,444,321,764/622,168
  6. Step 6: Final answer
    x = 2,853,641.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.