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Finding the Third Proportional to 819,705,456 and 1,770,289,920

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Solution

The third proportional to 819,705,456 and 1,770,289,920 is: 3,823,234,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,705,456 : 1,770,289,920 = 1,770,289,920 : x
  2. Step 2: Convert to fraction form
    819,705,456/1,770,289,920 = 1,770,289,920/x
  3. Step 3: Cross multiply
    819,705,456x = 1,770,289,920 × 1,770,289,920
  4. Step 4: Simplify right side
    819,705,456x = 3,133,926,400,853,606,400
  5. Step 5: Solve for x
    x = 3,133,926,400,853,606,400/819,705,456
  6. Step 6: Final answer
    x = 3,823,234,770.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.