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Finding the Third Proportional to 438,170,271 and 682,380,939

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Solution

The third proportional to 438,170,271 and 682,380,939 is: 1,062,700,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,170,271 : 682,380,939 = 682,380,939 : x
  2. Step 2: Convert to fraction form
    438,170,271/682,380,939 = 682,380,939/x
  3. Step 3: Cross multiply
    438,170,271x = 682,380,939 × 682,380,939
  4. Step 4: Simplify right side
    438,170,271x = 465,643,745,910,521,728
  5. Step 5: Solve for x
    x = 465,643,745,910,521,728/438,170,271
  6. Step 6: Final answer
    x = 1,062,700,453.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.