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Finding the Third Proportional to 324,790,169 and 757,869,905

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Solution

The third proportional to 324,790,169 and 757,869,905 is: 1,768,424,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,790,169 : 757,869,905 = 757,869,905 : x
  2. Step 2: Convert to fraction form
    324,790,169/757,869,905 = 757,869,905/x
  3. Step 3: Cross multiply
    324,790,169x = 757,869,905 × 757,869,905
  4. Step 4: Simplify right side
    324,790,169x = 574,366,792,904,709,056
  5. Step 5: Solve for x
    x = 574,366,792,904,709,056/324,790,169
  6. Step 6: Final answer
    x = 1,768,424,194.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.