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Finding the Third Proportional to 422,097,879.75 and 916,857,534

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Solution

The third proportional to 422,097,879.75 and 916,857,534 is: 1,991,546,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,097,879.75 : 916,857,534 = 916,857,534 : x
  2. Step 2: Convert to fraction form
    422,097,879.75/916,857,534 = 916,857,534/x
  3. Step 3: Cross multiply
    422,097,879.75x = 916,857,534 × 916,857,534
  4. Step 4: Simplify right side
    422,097,879.75x = 840,627,737,652,561,152
  5. Step 5: Solve for x
    x = 840,627,737,652,561,152/422,097,879.75
  6. Step 6: Final answer
    x = 1,991,546,932.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.