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Finding the Third Proportional to 749,728 and 1,619,204

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Solution

The third proportional to 749,728 and 1,619,204 is: 3,497,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,728 : 1,619,204 = 1,619,204 : x
  2. Step 2: Convert to fraction form
    749,728/1,619,204 = 1,619,204/x
  3. Step 3: Cross multiply
    749,728x = 1,619,204 × 1,619,204
  4. Step 4: Simplify right side
    749,728x = 2,621,821,593,616
  5. Step 5: Solve for x
    x = 2,621,821,593,616/749,728
  6. Step 6: Final answer
    x = 3,497,030.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.