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Finding the Third Proportional to 384,516 and 843,912

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Solution

The third proportional to 384,516 and 843,912 is: 1,852,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,516 : 843,912 = 843,912 : x
  2. Step 2: Convert to fraction form
    384,516/843,912 = 843,912/x
  3. Step 3: Cross multiply
    384,516x = 843,912 × 843,912
  4. Step 4: Simplify right side
    384,516x = 712,187,463,744
  5. Step 5: Solve for x
    x = 712,187,463,744/384,516
  6. Step 6: Final answer
    x = 1,852,166.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.