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Finding the Third Proportional to 538,097,395 and 769,480,191

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Solution

The third proportional to 538,097,395 and 769,480,191 is: 1,100,357,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097,395 : 769,480,191 = 769,480,191 : x
  2. Step 2: Convert to fraction form
    538,097,395/769,480,191 = 769,480,191/x
  3. Step 3: Cross multiply
    538,097,395x = 769,480,191 × 769,480,191
  4. Step 4: Simplify right side
    538,097,395x = 592,099,764,341,396,480
  5. Step 5: Solve for x
    x = 592,099,764,341,396,480/538,097,395
  6. Step 6: Final answer
    x = 1,100,357,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.