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Finding the Third Proportional to 421,119 and 898,229.25

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Solution

The third proportional to 421,119 and 898,229.25 is: 1,915,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,119 : 898,229.25 = 898,229.25 : x
  2. Step 2: Convert to fraction form
    421,119/898,229.25 = 898,229.25/x
  3. Step 3: Cross multiply
    421,119x = 898,229.25 × 898,229.25
  4. Step 4: Simplify right side
    421,119x = 806,815,785,555.56
  5. Step 5: Solve for x
    x = 806,815,785,555.56/421,119
  6. Step 6: Final answer
    x = 1,915,885.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.