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Finding the Third Proportional to 493,608,620,975 and 695,109,709,770

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Solution

The third proportional to 493,608,620,975 and 695,109,709,770 is: 978,867,645,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608,620,975 : 695,109,709,770 = 695,109,709,770 : x
  2. Step 2: Convert to fraction form
    493,608,620,975/695,109,709,770 = 695,109,709,770/x
  3. Step 3: Cross multiply
    493,608,620,975x = 695,109,709,770 × 695,109,709,770
  4. Step 4: Simplify right side
    493,608,620,975x = 483,177,508,616,533,664,858,112
  5. Step 5: Solve for x
    x = 483,177,508,616,533,664,858,112/493,608,620,975
  6. Step 6: Final answer
    x = 978,867,645,508.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.