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Finding the Third Proportional to 433,900 and 888,938

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Solution

The third proportional to 433,900 and 888,938 is: 1,821,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,900 : 888,938 = 888,938 : x
  2. Step 2: Convert to fraction form
    433,900/888,938 = 888,938/x
  3. Step 3: Cross multiply
    433,900x = 888,938 × 888,938
  4. Step 4: Simplify right side
    433,900x = 790,210,767,844
  5. Step 5: Solve for x
    x = 790,210,767,844/433,900
  6. Step 6: Final answer
    x = 1,821,181.77

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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.