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Finding the Third Proportional to 769,928 and 1,624,112

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Solution

The third proportional to 769,928 and 1,624,112 is: 3,425,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,928 : 1,624,112 = 1,624,112 : x
  2. Step 2: Convert to fraction form
    769,928/1,624,112 = 1,624,112/x
  3. Step 3: Cross multiply
    769,928x = 1,624,112 × 1,624,112
  4. Step 4: Simplify right side
    769,928x = 2,637,739,788,544
  5. Step 5: Solve for x
    x = 2,637,739,788,544/769,928
  6. Step 6: Final answer
    x = 3,425,956.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.