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Finding the Third Proportional to 339,565,706 and 727,542,772

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Solution

The third proportional to 339,565,706 and 727,542,772 is: 1,558,810,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,565,706 : 727,542,772 = 727,542,772 : x
  2. Step 2: Convert to fraction form
    339,565,706/727,542,772 = 727,542,772/x
  3. Step 3: Cross multiply
    339,565,706x = 727,542,772 × 727,542,772
  4. Step 4: Simplify right side
    339,565,706x = 529,318,485,089,443,968
  5. Step 5: Solve for x
    x = 529,318,485,089,443,968/339,565,706
  6. Step 6: Final answer
    x = 1,558,810,197.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.