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Finding the Third Proportional to 512,031.75 and 1,114,329

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Solution

The third proportional to 512,031.75 and 1,114,329 is: 2,425,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,031.75 : 1,114,329 = 1,114,329 : x
  2. Step 2: Convert to fraction form
    512,031.75/1,114,329 = 1,114,329/x
  3. Step 3: Cross multiply
    512,031.75x = 1,114,329 × 1,114,329
  4. Step 4: Simplify right side
    512,031.75x = 1,241,729,120,241
  5. Step 5: Solve for x
    x = 1,241,729,120,241/512,031.75
  6. Step 6: Final answer
    x = 2,425,101.80

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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.