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Finding the Third Proportional to 1,747,208 and 2,741,358

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Solution

The third proportional to 1,747,208 and 2,741,358 is: 4,301,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,208 : 2,741,358 = 2,741,358 : x
  2. Step 2: Convert to fraction form
    1,747,208/2,741,358 = 2,741,358/x
  3. Step 3: Cross multiply
    1,747,208x = 2,741,358 × 2,741,358
  4. Step 4: Simplify right side
    1,747,208x = 7,515,043,684,164
  5. Step 5: Solve for x
    x = 7,515,043,684,164/1,747,208
  6. Step 6: Final answer
    x = 4,301,172.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.