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Finding the Third Proportional to 4,213,328 and 6,364,271

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Solution

The third proportional to 4,213,328 and 6,364,271 is: 9,613,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,328 : 6,364,271 = 6,364,271 : x
  2. Step 2: Convert to fraction form
    4,213,328/6,364,271 = 6,364,271/x
  3. Step 3: Cross multiply
    4,213,328x = 6,364,271 × 6,364,271
  4. Step 4: Simplify right side
    4,213,328x = 40,503,945,361,441
  5. Step 5: Solve for x
    x = 40,503,945,361,441/4,213,328
  6. Step 6: Final answer
    x = 9,613,290.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.