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Finding the Third Proportional to 953,208 and 1,984,824

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Solution

The third proportional to 953,208 and 1,984,824 is: 4,132,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,208 : 1,984,824 = 1,984,824 : x
  2. Step 2: Convert to fraction form
    953,208/1,984,824 = 1,984,824/x
  3. Step 3: Cross multiply
    953,208x = 1,984,824 × 1,984,824
  4. Step 4: Simplify right side
    953,208x = 3,939,526,310,976
  5. Step 5: Solve for x
    x = 3,939,526,310,976/953,208
  6. Step 6: Final answer
    x = 4,132,913.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.