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Finding the Third Proportional to 389,414 and 839,092

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Solution

The third proportional to 389,414 and 839,092 is: 1,808,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,414 : 839,092 = 839,092 : x
  2. Step 2: Convert to fraction form
    389,414/839,092 = 839,092/x
  3. Step 3: Cross multiply
    389,414x = 839,092 × 839,092
  4. Step 4: Simplify right side
    389,414x = 704,075,384,464
  5. Step 5: Solve for x
    x = 704,075,384,464/389,414
  6. Step 6: Final answer
    x = 1,808,038.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.