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Finding the Third Proportional to 738,208 and 1,609,824

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Solution

The third proportional to 738,208 and 1,609,824 is: 3,510,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,208 : 1,609,824 = 1,609,824 : x
  2. Step 2: Convert to fraction form
    738,208/1,609,824 = 1,609,824/x
  3. Step 3: Cross multiply
    738,208x = 1,609,824 × 1,609,824
  4. Step 4: Simplify right side
    738,208x = 2,591,533,310,976
  5. Step 5: Solve for x
    x = 2,591,533,310,976/738,208
  6. Step 6: Final answer
    x = 3,510,573.32

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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.