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Finding the Third Proportional to 751,922,384 and 1,149,495,600

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Solution

The third proportional to 751,922,384 and 1,149,495,600 is: 1,757,282,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,922,384 : 1,149,495,600 = 1,149,495,600 : x
  2. Step 2: Convert to fraction form
    751,922,384/1,149,495,600 = 1,149,495,600/x
  3. Step 3: Cross multiply
    751,922,384x = 1,149,495,600 × 1,149,495,600
  4. Step 4: Simplify right side
    751,922,384x = 1,321,340,134,419,360,000
  5. Step 5: Solve for x
    x = 1,321,340,134,419,360,000/751,922,384
  6. Step 6: Final answer
    x = 1,757,282,616.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.