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Finding the Third Proportional to 389,164 and 844,756

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Solution

The third proportional to 389,164 and 844,756 is: 1,833,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,164 : 844,756 = 844,756 : x
  2. Step 2: Convert to fraction form
    389,164/844,756 = 844,756/x
  3. Step 3: Cross multiply
    389,164x = 844,756 × 844,756
  4. Step 4: Simplify right side
    389,164x = 713,612,699,536
  5. Step 5: Solve for x
    x = 713,612,699,536/389,164
  6. Step 6: Final answer
    x = 1,833,706.87

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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.