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Finding the Third Proportional to 314,259,744 and 682,920,384

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Solution

The third proportional to 314,259,744 and 682,920,384 is: 1,484,059,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259,744 : 682,920,384 = 682,920,384 : x
  2. Step 2: Convert to fraction form
    314,259,744/682,920,384 = 682,920,384/x
  3. Step 3: Cross multiply
    314,259,744x = 682,920,384 × 682,920,384
  4. Step 4: Simplify right side
    314,259,744x = 466,380,250,882,707,456
  5. Step 5: Solve for x
    x = 466,380,250,882,707,456/314,259,744
  6. Step 6: Final answer
    x = 1,484,059,793.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.