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Finding the Third Proportional to 419,277 and 904,947

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Solution

The third proportional to 419,277 and 904,947 is: 1,953,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,277 : 904,947 = 904,947 : x
  2. Step 2: Convert to fraction form
    419,277/904,947 = 904,947/x
  3. Step 3: Cross multiply
    419,277x = 904,947 × 904,947
  4. Step 4: Simplify right side
    419,277x = 818,929,072,809
  5. Step 5: Solve for x
    x = 818,929,072,809/419,277
  6. Step 6: Final answer
    x = 1,953,193.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.