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Finding the Third Proportional to 1,203,700.50 and 2,449,438.31

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Solution

The third proportional to 1,203,700.50 and 2,449,438.31 is: 4,984,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,700.50 : 2,449,438.31 = 2,449,438.31 : x
  2. Step 2: Convert to fraction form
    1,203,700.50/2,449,438.31 = 2,449,438.31/x
  3. Step 3: Cross multiply
    1,203,700.50x = 2,449,438.31 × 2,449,438.31
  4. Step 4: Simplify right side
    1,203,700.50x = 5,999,748,046,742.85
  5. Step 5: Solve for x
    x = 5,999,748,046,742.85/1,203,700.50
  6. Step 6: Final answer
    x = 4,984,419.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.