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Finding the Third Proportional to 512,695 and 1,104,275

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Solution

The third proportional to 512,695 and 1,104,275 is: 2,378,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,695 : 1,104,275 = 1,104,275 : x
  2. Step 2: Convert to fraction form
    512,695/1,104,275 = 1,104,275/x
  3. Step 3: Cross multiply
    512,695x = 1,104,275 × 1,104,275
  4. Step 4: Simplify right side
    512,695x = 1,219,423,275,625
  5. Step 5: Solve for x
    x = 1,219,423,275,625/512,695
  6. Step 6: Final answer
    x = 2,378,457.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.