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Finding the Third Proportional to 516,296 and 1,118,400

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Solution

The third proportional to 516,296 and 1,118,400 is: 2,422,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,296 : 1,118,400 = 1,118,400 : x
  2. Step 2: Convert to fraction form
    516,296/1,118,400 = 1,118,400/x
  3. Step 3: Cross multiply
    516,296x = 1,118,400 × 1,118,400
  4. Step 4: Simplify right side
    516,296x = 1,250,818,560,000
  5. Step 5: Solve for x
    x = 1,250,818,560,000/516,296
  6. Step 6: Final answer
    x = 2,422,677.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.