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Finding the Third Proportional to 386,628 and 839,676

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Solution

The third proportional to 386,628 and 839,676 is: 1,823,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,628 : 839,676 = 839,676 : x
  2. Step 2: Convert to fraction form
    386,628/839,676 = 839,676/x
  3. Step 3: Cross multiply
    386,628x = 839,676 × 839,676
  4. Step 4: Simplify right side
    386,628x = 705,055,784,976
  5. Step 5: Solve for x
    x = 705,055,784,976/386,628
  6. Step 6: Final answer
    x = 1,823,602.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.