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Finding the Third Proportional to 414,471.38 and 907,845.75

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Solution

The third proportional to 414,471.38 and 907,845.75 is: 1,988,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,471.38 : 907,845.75 = 907,845.75 : x
  2. Step 2: Convert to fraction form
    414,471.38/907,845.75 = 907,845.75/x
  3. Step 3: Cross multiply
    414,471.38x = 907,845.75 × 907,845.75
  4. Step 4: Simplify right side
    414,471.38x = 824,183,905,793.06
  5. Step 5: Solve for x
    x = 824,183,905,793.06/414,471.38
  6. Step 6: Final answer
    x = 1,988,518.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.