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Finding the Third Proportional to 918,800 and 1,948,912

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Solution

The third proportional to 918,800 and 1,948,912 is: 4,133,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,800 : 1,948,912 = 1,948,912 : x
  2. Step 2: Convert to fraction form
    918,800/1,948,912 = 1,948,912/x
  3. Step 3: Cross multiply
    918,800x = 1,948,912 × 1,948,912
  4. Step 4: Simplify right side
    918,800x = 3,798,257,983,744
  5. Step 5: Solve for x
    x = 3,798,257,983,744/918,800
  6. Step 6: Final answer
    x = 4,133,933.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.