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Finding the Third Proportional to 964,198 and 2,117,529

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Solution

The third proportional to 964,198 and 2,117,529 is: 4,650,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,198 : 2,117,529 = 2,117,529 : x
  2. Step 2: Convert to fraction form
    964,198/2,117,529 = 2,117,529/x
  3. Step 3: Cross multiply
    964,198x = 2,117,529 × 2,117,529
  4. Step 4: Simplify right side
    964,198x = 4,483,929,065,841
  5. Step 5: Solve for x
    x = 4,483,929,065,841/964,198
  6. Step 6: Final answer
    x = 4,650,423.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.