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Finding the Third Proportional to 512,597,604 and 1,118,342,742

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Solution

The third proportional to 512,597,604 and 1,118,342,742 is: 2,439,907,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,597,604 : 1,118,342,742 = 1,118,342,742 : x
  2. Step 2: Convert to fraction form
    512,597,604/1,118,342,742 = 1,118,342,742/x
  3. Step 3: Cross multiply
    512,597,604x = 1,118,342,742 × 1,118,342,742
  4. Step 4: Simplify right side
    512,597,604x = 1,250,690,488,584,078,592
  5. Step 5: Solve for x
    x = 1,250,690,488,584,078,592/512,597,604
  6. Step 6: Final answer
    x = 2,439,907,012.49

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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.