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Finding the Third Proportional to 1,965,198 and 4,276,386

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Solution

The third proportional to 1,965,198 and 4,276,386 is: 9,305,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,198 : 4,276,386 = 4,276,386 : x
  2. Step 2: Convert to fraction form
    1,965,198/4,276,386 = 4,276,386/x
  3. Step 3: Cross multiply
    1,965,198x = 4,276,386 × 4,276,386
  4. Step 4: Simplify right side
    1,965,198x = 18,287,477,220,996
  5. Step 5: Solve for x
    x = 18,287,477,220,996/1,965,198
  6. Step 6: Final answer
    x = 9,305,666.51

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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.