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Finding the Third Proportional to 399,636 and 855,954

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Solution

The third proportional to 399,636 and 855,954 is: 1,833,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,636 : 855,954 = 855,954 : x
  2. Step 2: Convert to fraction form
    399,636/855,954 = 855,954/x
  3. Step 3: Cross multiply
    399,636x = 855,954 × 855,954
  4. Step 4: Simplify right side
    399,636x = 732,657,250,116
  5. Step 5: Solve for x
    x = 732,657,250,116/399,636
  6. Step 6: Final answer
    x = 1,833,311.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.