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Finding the Third Proportional to 389,628 and 839,440

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Solution

The third proportional to 389,628 and 839,440 is: 1,808,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,628 : 839,440 = 839,440 : x
  2. Step 2: Convert to fraction form
    389,628/839,440 = 839,440/x
  3. Step 3: Cross multiply
    389,628x = 839,440 × 839,440
  4. Step 4: Simplify right side
    389,628x = 704,659,513,600
  5. Step 5: Solve for x
    x = 704,659,513,600/389,628
  6. Step 6: Final answer
    x = 1,808,544.34

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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.