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Finding the Third Proportional to 500,407,891 and 1,042,234,245

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Solution

The third proportional to 500,407,891 and 1,042,234,245 is: 2,170,733,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,407,891 : 1,042,234,245 = 1,042,234,245 : x
  2. Step 2: Convert to fraction form
    500,407,891/1,042,234,245 = 1,042,234,245/x
  3. Step 3: Cross multiply
    500,407,891x = 1,042,234,245 × 1,042,234,245
  4. Step 4: Simplify right side
    500,407,891x = 1,086,252,221,450,720,000
  5. Step 5: Solve for x
    x = 1,086,252,221,450,720,000/500,407,891
  6. Step 6: Final answer
    x = 2,170,733,597.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.