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Finding the Third Proportional to 628,048 and 1,309,224

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Solution

The third proportional to 628,048 and 1,309,224 is: 2,729,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,048 : 1,309,224 = 1,309,224 : x
  2. Step 2: Convert to fraction form
    628,048/1,309,224 = 1,309,224/x
  3. Step 3: Cross multiply
    628,048x = 1,309,224 × 1,309,224
  4. Step 4: Simplify right side
    628,048x = 1,714,067,482,176
  5. Step 5: Solve for x
    x = 1,714,067,482,176/628,048
  6. Step 6: Final answer
    x = 2,729,198.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.