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Finding the Third Proportional to 901,611 and 1,903,824

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Solution

The third proportional to 901,611 and 1,903,824 is: 4,020,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,611 : 1,903,824 = 1,903,824 : x
  2. Step 2: Convert to fraction form
    901,611/1,903,824 = 1,903,824/x
  3. Step 3: Cross multiply
    901,611x = 1,903,824 × 1,903,824
  4. Step 4: Simplify right side
    901,611x = 3,624,545,822,976
  5. Step 5: Solve for x
    x = 3,624,545,822,976/901,611
  6. Step 6: Final answer
    x = 4,020,077.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.