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Finding the Third Proportional to 420,157 and 921,950

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Solution

The third proportional to 420,157 and 921,950 is: 2,023,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,157 : 921,950 = 921,950 : x
  2. Step 2: Convert to fraction form
    420,157/921,950 = 921,950/x
  3. Step 3: Cross multiply
    420,157x = 921,950 × 921,950
  4. Step 4: Simplify right side
    420,157x = 849,991,802,500
  5. Step 5: Solve for x
    x = 849,991,802,500/420,157
  6. Step 6: Final answer
    x = 2,023,033.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.