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Finding the Third Proportional to 782,474 and 1,714,393

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Solution

The third proportional to 782,474 and 1,714,393 is: 3,756,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,474 : 1,714,393 = 1,714,393 : x
  2. Step 2: Convert to fraction form
    782,474/1,714,393 = 1,714,393/x
  3. Step 3: Cross multiply
    782,474x = 1,714,393 × 1,714,393
  4. Step 4: Simplify right side
    782,474x = 2,939,143,358,449
  5. Step 5: Solve for x
    x = 2,939,143,358,449/782,474
  6. Step 6: Final answer
    x = 3,756,218.56

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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.