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Finding the Third Proportional to 1,250,599.50 and 2,560,167

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Solution

The third proportional to 1,250,599.50 and 2,560,167 is: 5,241,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,599.50 : 2,560,167 = 2,560,167 : x
  2. Step 2: Convert to fraction form
    1,250,599.50/2,560,167 = 2,560,167/x
  3. Step 3: Cross multiply
    1,250,599.50x = 2,560,167 × 2,560,167
  4. Step 4: Simplify right side
    1,250,599.50x = 6,554,455,067,889
  5. Step 5: Solve for x
    x = 6,554,455,067,889/1,250,599.50
  6. Step 6: Final answer
    x = 5,241,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.