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Finding the Third Proportional to 493,480,734 and 1,097,296,719

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Solution

The third proportional to 493,480,734 and 1,097,296,719 is: 2,439,933,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,480,734 : 1,097,296,719 = 1,097,296,719 : x
  2. Step 2: Convert to fraction form
    493,480,734/1,097,296,719 = 1,097,296,719/x
  3. Step 3: Cross multiply
    493,480,734x = 1,097,296,719 × 1,097,296,719
  4. Step 4: Simplify right side
    493,480,734x = 1,204,060,089,528,164,864
  5. Step 5: Solve for x
    x = 1,204,060,089,528,164,864/493,480,734
  6. Step 6: Final answer
    x = 2,439,933,327.83

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.