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Finding the Third Proportional to 513,378 and 1,199,475

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Solution

The third proportional to 513,378 and 1,199,475 is: 2,802,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,378 : 1,199,475 = 1,199,475 : x
  2. Step 2: Convert to fraction form
    513,378/1,199,475 = 1,199,475/x
  3. Step 3: Cross multiply
    513,378x = 1,199,475 × 1,199,475
  4. Step 4: Simplify right side
    513,378x = 1,438,740,275,625
  5. Step 5: Solve for x
    x = 1,438,740,275,625/513,378
  6. Step 6: Final answer
    x = 2,802,496.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.