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Finding the Third Proportional to 1,091,028.75 and 2,385,204.75

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Solution

The third proportional to 1,091,028.75 and 2,385,204.75 is: 5,214,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,028.75 : 2,385,204.75 = 2,385,204.75 : x
  2. Step 2: Convert to fraction form
    1,091,028.75/2,385,204.75 = 2,385,204.75/x
  3. Step 3: Cross multiply
    1,091,028.75x = 2,385,204.75 × 2,385,204.75
  4. Step 4: Simplify right side
    1,091,028.75x = 5,689,201,699,422.56
  5. Step 5: Solve for x
    x = 5,689,201,699,422.56/1,091,028.75
  6. Step 6: Final answer
    x = 5,214,529.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.