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Finding the Third Proportional to 1,796,742 and 2,628,231

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Solution

The third proportional to 1,796,742 and 2,628,231 is: 3,844,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,742 : 2,628,231 = 2,628,231 : x
  2. Step 2: Convert to fraction form
    1,796,742/2,628,231 = 2,628,231/x
  3. Step 3: Cross multiply
    1,796,742x = 2,628,231 × 2,628,231
  4. Step 4: Simplify right side
    1,796,742x = 6,907,598,189,361
  5. Step 5: Solve for x
    x = 6,907,598,189,361/1,796,742
  6. Step 6: Final answer
    x = 3,844,513.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.