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Finding the Third Proportional to 385,599,860 and 587,435,142

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Solution

The third proportional to 385,599,860 and 587,435,142 is: 894,917,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,599,860 : 587,435,142 = 587,435,142 : x
  2. Step 2: Convert to fraction form
    385,599,860/587,435,142 = 587,435,142/x
  3. Step 3: Cross multiply
    385,599,860x = 587,435,142 × 587,435,142
  4. Step 4: Simplify right side
    385,599,860x = 345,080,046,056,560,192
  5. Step 5: Solve for x
    x = 345,080,046,056,560,192/385,599,860
  6. Step 6: Final answer
    x = 894,917,456.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.