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Finding the Third Proportional to 512,612 and 1,186,706

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Solution

The third proportional to 512,612 and 1,186,706 is: 2,747,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,612 : 1,186,706 = 1,186,706 : x
  2. Step 2: Convert to fraction form
    512,612/1,186,706 = 1,186,706/x
  3. Step 3: Cross multiply
    512,612x = 1,186,706 × 1,186,706
  4. Step 4: Simplify right side
    512,612x = 1,408,271,130,436
  5. Step 5: Solve for x
    x = 1,408,271,130,436/512,612
  6. Step 6: Final answer
    x = 2,747,245.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.