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Finding the Third Proportional to 2,163,407 and 4,616,375

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Solution

The third proportional to 2,163,407 and 4,616,375 is: 9,850,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,407 : 4,616,375 = 4,616,375 : x
  2. Step 2: Convert to fraction form
    2,163,407/4,616,375 = 4,616,375/x
  3. Step 3: Cross multiply
    2,163,407x = 4,616,375 × 4,616,375
  4. Step 4: Simplify right side
    2,163,407x = 21,310,918,140,625
  5. Step 5: Solve for x
    x = 21,310,918,140,625/2,163,407
  6. Step 6: Final answer
    x = 9,850,628.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.