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Finding the Third Proportional to 770,013 and 1,855,048.50

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Solution

The third proportional to 770,013 and 1,855,048.50 is: 4,469,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,013 : 1,855,048.50 = 1,855,048.50 : x
  2. Step 2: Convert to fraction form
    770,013/1,855,048.50 = 1,855,048.50/x
  3. Step 3: Cross multiply
    770,013x = 1,855,048.50 × 1,855,048.50
  4. Step 4: Simplify right side
    770,013x = 3,441,204,937,352.25
  5. Step 5: Solve for x
    x = 3,441,204,937,352.25/770,013
  6. Step 6: Final answer
    x = 4,469,021.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.