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Finding the Third Proportional to 1,199,266 and 1,958,085.50

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Solution

The third proportional to 1,199,266 and 1,958,085.50 is: 3,197,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,266 : 1,958,085.50 = 1,958,085.50 : x
  2. Step 2: Convert to fraction form
    1,199,266/1,958,085.50 = 1,958,085.50/x
  3. Step 3: Cross multiply
    1,199,266x = 1,958,085.50 × 1,958,085.50
  4. Step 4: Simplify right side
    1,199,266x = 3,834,098,825,310.25
  5. Step 5: Solve for x
    x = 3,834,098,825,310.25/1,199,266
  6. Step 6: Final answer
    x = 3,197,037.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.