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Finding the Third Proportional to 3,200,178 and 4,501,451

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Solution

The third proportional to 3,200,178 and 4,501,451 is: 6,331,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,178 : 4,501,451 = 4,501,451 : x
  2. Step 2: Convert to fraction form
    3,200,178/4,501,451 = 4,501,451/x
  3. Step 3: Cross multiply
    3,200,178x = 4,501,451 × 4,501,451
  4. Step 4: Simplify right side
    3,200,178x = 20,263,061,105,401
  5. Step 5: Solve for x
    x = 20,263,061,105,401/3,200,178
  6. Step 6: Final answer
    x = 6,331,854.39

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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.