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Finding the Third Proportional to 467,416 and 1,021,296

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Solution

The third proportional to 467,416 and 1,021,296 is: 2,231,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,416 : 1,021,296 = 1,021,296 : x
  2. Step 2: Convert to fraction form
    467,416/1,021,296 = 1,021,296/x
  3. Step 3: Cross multiply
    467,416x = 1,021,296 × 1,021,296
  4. Step 4: Simplify right side
    467,416x = 1,043,045,519,616
  5. Step 5: Solve for x
    x = 1,043,045,519,616/467,416
  6. Step 6: Final answer
    x = 2,231,514.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.