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Finding the Third Proportional to 541,128,630 and 836,542,785

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Solution

The third proportional to 541,128,630 and 836,542,785 is: 1,293,230,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,128,630 : 836,542,785 = 836,542,785 : x
  2. Step 2: Convert to fraction form
    541,128,630/836,542,785 = 836,542,785/x
  3. Step 3: Cross multiply
    541,128,630x = 836,542,785 × 836,542,785
  4. Step 4: Simplify right side
    541,128,630x = 699,803,831,135,556,224
  5. Step 5: Solve for x
    x = 699,803,831,135,556,224/541,128,630
  6. Step 6: Final answer
    x = 1,293,230,097.87

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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.