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Finding the Third Proportional to 516,821,104 and 775,609,644

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Solution

The third proportional to 516,821,104 and 775,609,644 is: 1,163,981,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,821,104 : 775,609,644 = 775,609,644 : x
  2. Step 2: Convert to fraction form
    516,821,104/775,609,644 = 775,609,644/x
  3. Step 3: Cross multiply
    516,821,104x = 775,609,644 × 775,609,644
  4. Step 4: Simplify right side
    516,821,104x = 601,570,319,865,806,720
  5. Step 5: Solve for x
    x = 601,570,319,865,806,720/516,821,104
  6. Step 6: Final answer
    x = 1,163,981,724.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.