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Finding the Third Proportional to 632,378 and 1,370,568

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Solution

The third proportional to 632,378 and 1,370,568 is: 2,970,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,378 : 1,370,568 = 1,370,568 : x
  2. Step 2: Convert to fraction form
    632,378/1,370,568 = 1,370,568/x
  3. Step 3: Cross multiply
    632,378x = 1,370,568 × 1,370,568
  4. Step 4: Simplify right side
    632,378x = 1,878,456,642,624
  5. Step 5: Solve for x
    x = 1,878,456,642,624/632,378
  6. Step 6: Final answer
    x = 2,970,464.88

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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.