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Finding the Third Proportional to 1,597,404.09 and 3,438,385.41

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Solution

The third proportional to 1,597,404.09 and 3,438,385.41 is: 7,401,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,404.09 : 3,438,385.41 = 3,438,385.41 : x
  2. Step 2: Convert to fraction form
    1,597,404.09/3,438,385.41 = 3,438,385.41/x
  3. Step 3: Cross multiply
    1,597,404.09x = 3,438,385.41 × 3,438,385.41
  4. Step 4: Simplify right side
    1,597,404.09x = 11,822,494,201,912.98
  5. Step 5: Solve for x
    x = 11,822,494,201,912.98/1,597,404.09
  6. Step 6: Final answer
    x = 7,401,066.67

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Why These Related Problems?

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