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Finding the Third Proportional to 512,333,577 and 1,102,477,698

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Solution

The third proportional to 512,333,577 and 1,102,477,698 is: 2,372,393,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,333,577 : 1,102,477,698 = 1,102,477,698 : x
  2. Step 2: Convert to fraction form
    512,333,577/1,102,477,698 = 1,102,477,698/x
  3. Step 3: Cross multiply
    512,333,577x = 1,102,477,698 × 1,102,477,698
  4. Step 4: Simplify right side
    512,333,577x = 1,215,457,074,587,379,200
  5. Step 5: Solve for x
    x = 1,215,457,074,587,379,200/512,333,577
  6. Step 6: Final answer
    x = 2,372,393,942.45

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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.