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Finding the Third Proportional to 512,678,096 and 794,349,084

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Solution

The third proportional to 512,678,096 and 794,349,084 is: 1,230,773,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,678,096 : 794,349,084 = 794,349,084 : x
  2. Step 2: Convert to fraction form
    512,678,096/794,349,084 = 794,349,084/x
  3. Step 3: Cross multiply
    512,678,096x = 794,349,084 × 794,349,084
  4. Step 4: Simplify right side
    512,678,096x = 630,990,467,251,639,040
  5. Step 5: Solve for x
    x = 630,990,467,251,639,040/512,678,096
  6. Step 6: Final answer
    x = 1,230,773,212.62

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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.