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Finding the Third Proportional to 617,010.75 and 1,375,807.50

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Solution

The third proportional to 617,010.75 and 1,375,807.50 is: 3,067,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,010.75 : 1,375,807.50 = 1,375,807.50 : x
  2. Step 2: Convert to fraction form
    617,010.75/1,375,807.50 = 1,375,807.50/x
  3. Step 3: Cross multiply
    617,010.75x = 1,375,807.50 × 1,375,807.50
  4. Step 4: Simplify right side
    617,010.75x = 1,892,846,277,056.25
  5. Step 5: Solve for x
    x = 1,892,846,277,056.25/617,010.75
  6. Step 6: Final answer
    x = 3,067,768.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.