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Finding the Third Proportional to 599,674 and 1,288,276

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Solution

The third proportional to 599,674 and 1,288,276 is: 2,767,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,674 : 1,288,276 = 1,288,276 : x
  2. Step 2: Convert to fraction form
    599,674/1,288,276 = 1,288,276/x
  3. Step 3: Cross multiply
    599,674x = 1,288,276 × 1,288,276
  4. Step 4: Simplify right side
    599,674x = 1,659,655,052,176
  5. Step 5: Solve for x
    x = 1,659,655,052,176/599,674
  6. Step 6: Final answer
    x = 2,767,595.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.