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Finding the Third Proportional to 597,198 and 1,299,368

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Solution

The third proportional to 597,198 and 1,299,368 is: 2,827,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,198 : 1,299,368 = 1,299,368 : x
  2. Step 2: Convert to fraction form
    597,198/1,299,368 = 1,299,368/x
  3. Step 3: Cross multiply
    597,198x = 1,299,368 × 1,299,368
  4. Step 4: Simplify right side
    597,198x = 1,688,357,199,424
  5. Step 5: Solve for x
    x = 1,688,357,199,424/597,198
  6. Step 6: Final answer
    x = 2,827,131.37

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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.