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Finding the Third Proportional to 2,665,596 and 5,198,316

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Solution

The third proportional to 2,665,596 and 5,198,316 is: 10,137,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,596 : 5,198,316 = 5,198,316 : x
  2. Step 2: Convert to fraction form
    2,665,596/5,198,316 = 5,198,316/x
  3. Step 3: Cross multiply
    2,665,596x = 5,198,316 × 5,198,316
  4. Step 4: Simplify right side
    2,665,596x = 27,022,489,235,856
  5. Step 5: Solve for x
    x = 27,022,489,235,856/2,665,596
  6. Step 6: Final answer
    x = 10,137,503.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.