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Finding the Third Proportional to 633,816 and 950,860

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Solution

The third proportional to 633,816 and 950,860 is: 1,426,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,816 : 950,860 = 950,860 : x
  2. Step 2: Convert to fraction form
    633,816/950,860 = 950,860/x
  3. Step 3: Cross multiply
    633,816x = 950,860 × 950,860
  4. Step 4: Simplify right side
    633,816x = 904,134,739,600
  5. Step 5: Solve for x
    x = 904,134,739,600/633,816
  6. Step 6: Final answer
    x = 1,426,494.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.