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Finding the Third Proportional to 2,157,966 and 3,222,141.75

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Solution

The third proportional to 2,157,966 and 3,222,141.75 is: 4,811,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,966 : 3,222,141.75 = 3,222,141.75 : x
  2. Step 2: Convert to fraction form
    2,157,966/3,222,141.75 = 3,222,141.75/x
  3. Step 3: Cross multiply
    2,157,966x = 3,222,141.75 × 3,222,141.75
  4. Step 4: Simplify right side
    2,157,966x = 10,382,197,457,093.06
  5. Step 5: Solve for x
    x = 10,382,197,457,093.06/2,157,966
  6. Step 6: Final answer
    x = 4,811,103.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.