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Finding the Third Proportional to 1,070,536.50 and 1,538,736.75

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Solution

The third proportional to 1,070,536.50 and 1,538,736.75 is: 2,211,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,536.50 : 1,538,736.75 = 1,538,736.75 : x
  2. Step 2: Convert to fraction form
    1,070,536.50/1,538,736.75 = 1,538,736.75/x
  3. Step 3: Cross multiply
    1,070,536.50x = 1,538,736.75 × 1,538,736.75
  4. Step 4: Simplify right side
    1,070,536.50x = 2,367,710,785,800.56
  5. Step 5: Solve for x
    x = 2,367,710,785,800.56/1,070,536.50
  6. Step 6: Final answer
    x = 2,211,704.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.