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Finding the Third Proportional to 504,816,524 and 775,459,722

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Solution

The third proportional to 504,816,524 and 775,459,722 is: 1,191,200,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,816,524 : 775,459,722 = 775,459,722 : x
  2. Step 2: Convert to fraction form
    504,816,524/775,459,722 = 775,459,722/x
  3. Step 3: Cross multiply
    504,816,524x = 775,459,722 × 775,459,722
  4. Step 4: Simplify right side
    504,816,524x = 601,337,780,444,317,312
  5. Step 5: Solve for x
    x = 601,337,780,444,317,312/504,816,524
  6. Step 6: Final answer
    x = 1,191,200,667.68

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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.