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Finding the Third Proportional to 1,277,375 and 1,776,093.50

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Solution

The third proportional to 1,277,375 and 1,776,093.50 is: 2,469,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,375 : 1,776,093.50 = 1,776,093.50 : x
  2. Step 2: Convert to fraction form
    1,277,375/1,776,093.50 = 1,776,093.50/x
  3. Step 3: Cross multiply
    1,277,375x = 1,776,093.50 × 1,776,093.50
  4. Step 4: Simplify right side
    1,277,375x = 3,154,508,120,742.25
  5. Step 5: Solve for x
    x = 3,154,508,120,742.25/1,277,375
  6. Step 6: Final answer
    x = 2,469,523.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.