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Finding the Third Proportional to 2,965,434 and 6,474,702

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Solution

The third proportional to 2,965,434 and 6,474,702 is: 14,136,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,434 : 6,474,702 = 6,474,702 : x
  2. Step 2: Convert to fraction form
    2,965,434/6,474,702 = 6,474,702/x
  3. Step 3: Cross multiply
    2,965,434x = 6,474,702 × 6,474,702
  4. Step 4: Simplify right side
    2,965,434x = 41,921,765,988,804
  5. Step 5: Solve for x
    x = 41,921,765,988,804/2,965,434
  6. Step 6: Final answer
    x = 14,136,806.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.