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Finding the Third Proportional to 959,576 and 2,052,013

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Solution

The third proportional to 959,576 and 2,052,013 is: 4,388,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,576 : 2,052,013 = 2,052,013 : x
  2. Step 2: Convert to fraction form
    959,576/2,052,013 = 2,052,013/x
  3. Step 3: Cross multiply
    959,576x = 2,052,013 × 2,052,013
  4. Step 4: Simplify right side
    959,576x = 4,210,757,352,169
  5. Step 5: Solve for x
    x = 4,210,757,352,169/959,576
  6. Step 6: Final answer
    x = 4,388,143.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.