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Finding the Third Proportional to 540,447 and 1,173,198

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Solution

The third proportional to 540,447 and 1,173,198 is: 2,546,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,447 : 1,173,198 = 1,173,198 : x
  2. Step 2: Convert to fraction form
    540,447/1,173,198 = 1,173,198/x
  3. Step 3: Cross multiply
    540,447x = 1,173,198 × 1,173,198
  4. Step 4: Simplify right side
    540,447x = 1,376,393,547,204
  5. Step 5: Solve for x
    x = 1,376,393,547,204/540,447
  6. Step 6: Final answer
    x = 2,546,768.78

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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.