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Finding the Third Proportional to 633,389 and 950,915

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Solution

The third proportional to 633,389 and 950,915 is: 1,427,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,389 : 950,915 = 950,915 : x
  2. Step 2: Convert to fraction form
    633,389/950,915 = 950,915/x
  3. Step 3: Cross multiply
    633,389x = 950,915 × 950,915
  4. Step 4: Simplify right side
    633,389x = 904,239,337,225
  5. Step 5: Solve for x
    x = 904,239,337,225/633,389
  6. Step 6: Final answer
    x = 1,427,620.84

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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.