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Finding the Third Proportional to 517,194,000 and 1,149,179,424

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Solution

The third proportional to 517,194,000 and 1,149,179,424 is: 2,553,419,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,194,000 : 1,149,179,424 = 1,149,179,424 : x
  2. Step 2: Convert to fraction form
    517,194,000/1,149,179,424 = 1,149,179,424/x
  3. Step 3: Cross multiply
    517,194,000x = 1,149,179,424 × 1,149,179,424
  4. Step 4: Simplify right side
    517,194,000x = 1,320,613,348,544,971,776
  5. Step 5: Solve for x
    x = 1,320,613,348,544,971,776/517,194,000
  6. Step 6: Final answer
    x = 2,553,419,700.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.