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Finding the Third Proportional to 536,575.50 and 1,137,120.75

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Solution

The third proportional to 536,575.50 and 1,137,120.75 is: 2,409,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,575.50 : 1,137,120.75 = 1,137,120.75 : x
  2. Step 2: Convert to fraction form
    536,575.50/1,137,120.75 = 1,137,120.75/x
  3. Step 3: Cross multiply
    536,575.50x = 1,137,120.75 × 1,137,120.75
  4. Step 4: Simplify right side
    536,575.50x = 1,293,043,600,080.56
  5. Step 5: Solve for x
    x = 1,293,043,600,080.56/536,575.50
  6. Step 6: Final answer
    x = 2,409,807.38

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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.