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Finding the Third Proportional to 1,753,285.50 and 2,375,912.25

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Solution

The third proportional to 1,753,285.50 and 2,375,912.25 is: 3,219,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,285.50 : 2,375,912.25 = 2,375,912.25 : x
  2. Step 2: Convert to fraction form
    1,753,285.50/2,375,912.25 = 2,375,912.25/x
  3. Step 3: Cross multiply
    1,753,285.50x = 2,375,912.25 × 2,375,912.25
  4. Step 4: Simplify right side
    1,753,285.50x = 5,644,959,019,700.06
  5. Step 5: Solve for x
    x = 5,644,959,019,700.06/1,753,285.50
  6. Step 6: Final answer
    x = 3,219,646.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.