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Finding the Third Proportional to 1,597,423 and 3,438,425

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Solution

The third proportional to 1,597,423 and 3,438,425 is: 7,401,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,423 : 3,438,425 = 3,438,425 : x
  2. Step 2: Convert to fraction form
    1,597,423/3,438,425 = 3,438,425/x
  3. Step 3: Cross multiply
    1,597,423x = 3,438,425 × 3,438,425
  4. Step 4: Simplify right side
    1,597,423x = 11,822,766,480,625
  5. Step 5: Solve for x
    x = 11,822,766,480,625/1,597,423
  6. Step 6: Final answer
    x = 7,401,149.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.