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Finding the Third Proportional to 433,755 and 919,998

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Solution

The third proportional to 433,755 and 919,998 is: 1,951,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,755 : 919,998 = 919,998 : x
  2. Step 2: Convert to fraction form
    433,755/919,998 = 919,998/x
  3. Step 3: Cross multiply
    433,755x = 919,998 × 919,998
  4. Step 4: Simplify right side
    433,755x = 846,396,320,004
  5. Step 5: Solve for x
    x = 846,396,320,004/433,755
  6. Step 6: Final answer
    x = 1,951,323.49

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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.