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Finding the Third Proportional to 997,120.13 and 2,113,877.25

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Solution

The third proportional to 997,120.13 and 2,113,877.25 is: 4,481,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,120.13 : 2,113,877.25 = 2,113,877.25 : x
  2. Step 2: Convert to fraction form
    997,120.13/2,113,877.25 = 2,113,877.25/x
  3. Step 3: Cross multiply
    997,120.13x = 2,113,877.25 × 2,113,877.25
  4. Step 4: Simplify right side
    997,120.13x = 4,468,477,028,067.56
  5. Step 5: Solve for x
    x = 4,468,477,028,067.56/997,120.13
  6. Step 6: Final answer
    x = 4,481,382.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.