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Finding the Third Proportional to 632,151 and 1,369,278

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Solution

The third proportional to 632,151 and 1,369,278 is: 2,965,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,151 : 1,369,278 = 1,369,278 : x
  2. Step 2: Convert to fraction form
    632,151/1,369,278 = 1,369,278/x
  3. Step 3: Cross multiply
    632,151x = 1,369,278 × 1,369,278
  4. Step 4: Simplify right side
    632,151x = 1,874,922,241,284
  5. Step 5: Solve for x
    x = 1,874,922,241,284/632,151
  6. Step 6: Final answer
    x = 2,965,940.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.