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Finding the Third Proportional to 4,049,613.75 and 5,696,271

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Solution

The third proportional to 4,049,613.75 and 5,696,271 is: 8,012,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049,613.75 : 5,696,271 = 5,696,271 : x
  2. Step 2: Convert to fraction form
    4,049,613.75/5,696,271 = 5,696,271/x
  3. Step 3: Cross multiply
    4,049,613.75x = 5,696,271 × 5,696,271
  4. Step 4: Simplify right side
    4,049,613.75x = 32,447,503,305,441
  5. Step 5: Solve for x
    x = 32,447,503,305,441/4,049,613.75
  6. Step 6: Final answer
    x = 8,012,493.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.