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Finding the Third Proportional to 400,813 and 881,787.25

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Solution

The third proportional to 400,813 and 881,787.25 is: 1,939,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,813 : 881,787.25 = 881,787.25 : x
  2. Step 2: Convert to fraction form
    400,813/881,787.25 = 881,787.25/x
  3. Step 3: Cross multiply
    400,813x = 881,787.25 × 881,787.25
  4. Step 4: Simplify right side
    400,813x = 777,548,754,262.56
  5. Step 5: Solve for x
    x = 777,548,754,262.56/400,813
  6. Step 6: Final answer
    x = 1,939,928.98

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Why These Related Problems?

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