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Finding the Third Proportional to 481,701.38 and 1,115,477.25

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Solution

The third proportional to 481,701.38 and 1,115,477.25 is: 2,583,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,701.38 : 1,115,477.25 = 1,115,477.25 : x
  2. Step 2: Convert to fraction form
    481,701.38/1,115,477.25 = 1,115,477.25/x
  3. Step 3: Cross multiply
    481,701.38x = 1,115,477.25 × 1,115,477.25
  4. Step 4: Simplify right side
    481,701.38x = 1,244,289,495,267.56
  5. Step 5: Solve for x
    x = 1,244,289,495,267.56/481,701.38
  6. Step 6: Final answer
    x = 2,583,113.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.