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Finding the Third Proportional to 519,374,493 and 776,469,390

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Solution

The third proportional to 519,374,493 and 776,469,390 is: 1,160,828,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,374,493 : 776,469,390 = 776,469,390 : x
  2. Step 2: Convert to fraction form
    519,374,493/776,469,390 = 776,469,390/x
  3. Step 3: Cross multiply
    519,374,493x = 776,469,390 × 776,469,390
  4. Step 4: Simplify right side
    519,374,493x = 602,904,713,606,972,160
  5. Step 5: Solve for x
    x = 602,904,713,606,972,160/519,374,493
  6. Step 6: Final answer
    x = 1,160,828,499.92

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Why These Related Problems?

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