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Finding the Third Proportional to 658,965 and 1,446,234

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Solution

The third proportional to 658,965 and 1,446,234 is: 3,174,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,965 : 1,446,234 = 1,446,234 : x
  2. Step 2: Convert to fraction form
    658,965/1,446,234 = 1,446,234/x
  3. Step 3: Cross multiply
    658,965x = 1,446,234 × 1,446,234
  4. Step 4: Simplify right side
    658,965x = 2,091,592,782,756
  5. Step 5: Solve for x
    x = 2,091,592,782,756/658,965
  6. Step 6: Final answer
    x = 3,174,057.47

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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.