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Finding the Third Proportional to 597,204 and 1,299,378

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Solution

The third proportional to 597,204 and 1,299,378 is: 2,827,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,204 : 1,299,378 = 1,299,378 : x
  2. Step 2: Convert to fraction form
    597,204/1,299,378 = 1,299,378/x
  3. Step 3: Cross multiply
    597,204x = 1,299,378 × 1,299,378
  4. Step 4: Simplify right side
    597,204x = 1,688,383,186,884
  5. Step 5: Solve for x
    x = 1,688,383,186,884/597,204
  6. Step 6: Final answer
    x = 2,827,146.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.