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Finding the Third Proportional to 400,896 and 881,152

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Solution

The third proportional to 400,896 and 881,152 is: 1,936,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,896 : 881,152 = 881,152 : x
  2. Step 2: Convert to fraction form
    400,896/881,152 = 881,152/x
  3. Step 3: Cross multiply
    400,896x = 881,152 × 881,152
  4. Step 4: Simplify right side
    400,896x = 776,428,847,104
  5. Step 5: Solve for x
    x = 776,428,847,104/400,896
  6. Step 6: Final answer
    x = 1,936,733.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.