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Finding the Third Proportional to 2,318,311.13 and 3,546,493.88

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Solution

The third proportional to 2,318,311.13 and 3,546,493.88 is: 5,425,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,311.13 : 3,546,493.88 = 3,546,493.88 : x
  2. Step 2: Convert to fraction form
    2,318,311.13/3,546,493.88 = 3,546,493.88/x
  3. Step 3: Cross multiply
    2,318,311.13x = 3,546,493.88 × 3,546,493.88
  4. Step 4: Simplify right side
    2,318,311.13x = 12,577,618,805,412.52
  5. Step 5: Solve for x
    x = 12,577,618,805,412.52/2,318,311.13
  6. Step 6: Final answer
    x = 5,425,336.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.