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Finding the Third Proportional to 384,930 and 839,736

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Solution

The third proportional to 384,930 and 839,736 is: 1,831,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,930 : 839,736 = 839,736 : x
  2. Step 2: Convert to fraction form
    384,930/839,736 = 839,736/x
  3. Step 3: Cross multiply
    384,930x = 839,736 × 839,736
  4. Step 4: Simplify right side
    384,930x = 705,156,549,696
  5. Step 5: Solve for x
    x = 705,156,549,696/384,930
  6. Step 6: Final answer
    x = 1,831,908.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.