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Finding the Third Proportional to 539,123,976 and 770,422,210

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Solution

The third proportional to 539,123,976 and 770,422,210 is: 1,100,953,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,123,976 : 770,422,210 = 770,422,210 : x
  2. Step 2: Convert to fraction form
    539,123,976/770,422,210 = 770,422,210/x
  3. Step 3: Cross multiply
    539,123,976x = 770,422,210 × 770,422,210
  4. Step 4: Simplify right side
    539,123,976x = 593,550,381,661,284,096
  5. Step 5: Solve for x
    x = 593,550,381,661,284,096/539,123,976
  6. Step 6: Final answer
    x = 1,100,953,413.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.