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Finding the Third Proportional to 569,800,683 and 1,234,703,115

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Solution

The third proportional to 569,800,683 and 1,234,703,115 is: 2,675,482,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,800,683 : 1,234,703,115 = 1,234,703,115 : x
  2. Step 2: Convert to fraction form
    569,800,683/1,234,703,115 = 1,234,703,115/x
  3. Step 3: Cross multiply
    569,800,683x = 1,234,703,115 × 1,234,703,115
  4. Step 4: Simplify right side
    569,800,683x = 1,524,491,782,190,703,104
  5. Step 5: Solve for x
    x = 1,524,491,782,190,703,104/569,800,683
  6. Step 6: Final answer
    x = 2,675,482,546.22

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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.