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Finding the Third Proportional to 433,888 and 888,912

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Solution

The third proportional to 433,888 and 888,912 is: 1,821,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,888 : 888,912 = 888,912 : x
  2. Step 2: Convert to fraction form
    433,888/888,912 = 888,912/x
  3. Step 3: Cross multiply
    433,888x = 888,912 × 888,912
  4. Step 4: Simplify right side
    433,888x = 790,164,543,744
  5. Step 5: Solve for x
    x = 790,164,543,744/433,888
  6. Step 6: Final answer
    x = 1,821,125.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.