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Finding the Third Proportional to 433,886 and 888,910

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Solution

The third proportional to 433,886 and 888,910 is: 1,821,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,886 : 888,910 = 888,910 : x
  2. Step 2: Convert to fraction form
    433,886/888,910 = 888,910/x
  3. Step 3: Cross multiply
    433,886x = 888,910 × 888,910
  4. Step 4: Simplify right side
    433,886x = 790,160,988,100
  5. Step 5: Solve for x
    x = 790,160,988,100/433,886
  6. Step 6: Final answer
    x = 1,821,125.80

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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.