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Finding the Third Proportional to 740,250,435 and 1,149,909,876.75

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Solution

The third proportional to 740,250,435 and 1,149,909,876.75 is: 1,786,277,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,250,435 : 1,149,909,876.75 = 1,149,909,876.75 : x
  2. Step 2: Convert to fraction form
    740,250,435/1,149,909,876.75 = 1,149,909,876.75/x
  3. Step 3: Cross multiply
    740,250,435x = 1,149,909,876.75 × 1,149,909,876.75
  4. Step 4: Simplify right side
    740,250,435x = 1,322,292,724,647,200,256
  5. Step 5: Solve for x
    x = 1,322,292,724,647,200,256/740,250,435
  6. Step 6: Final answer
    x = 1,786,277,538.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.