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Finding the Third Proportional to 385,696 and 839,936

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Solution

The third proportional to 385,696 and 839,936 is: 1,829,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,696 : 839,936 = 839,936 : x
  2. Step 2: Convert to fraction form
    385,696/839,936 = 839,936/x
  3. Step 3: Cross multiply
    385,696x = 839,936 × 839,936
  4. Step 4: Simplify right side
    385,696x = 705,492,484,096
  5. Step 5: Solve for x
    x = 705,492,484,096/385,696
  6. Step 6: Final answer
    x = 1,829,141.30

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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.