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Finding the Third Proportional to 422,955,912.94 and 646,590,579.75

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Solution

The third proportional to 422,955,912.94 and 646,590,579.75 is: 988,470,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,955,912.94 : 646,590,579.75 = 646,590,579.75 : x
  2. Step 2: Convert to fraction form
    422,955,912.94/646,590,579.75 = 646,590,579.75/x
  3. Step 3: Cross multiply
    422,955,912.94x = 646,590,579.75 × 646,590,579.75
  4. Step 4: Simplify right side
    422,955,912.94x = 418,079,377,821,441,088
  5. Step 5: Solve for x
    x = 418,079,377,821,441,088/422,955,912.94
  6. Step 6: Final answer
    x = 988,470,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.