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Finding the Third Proportional to 504,815,238 and 775,457,994

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Solution

The third proportional to 504,815,238 and 775,457,994 is: 1,191,198,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,238 : 775,457,994 = 775,457,994 : x
  2. Step 2: Convert to fraction form
    504,815,238/775,457,994 = 775,457,994/x
  3. Step 3: Cross multiply
    504,815,238x = 775,457,994 × 775,457,994
  4. Step 4: Simplify right side
    504,815,238x = 601,335,100,458,504,064
  5. Step 5: Solve for x
    x = 601,335,100,458,504,064/504,815,238
  6. Step 6: Final answer
    x = 1,191,198,393.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.