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Finding the Third Proportional to 787,086.75 and 1,668,758.25

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Solution

The third proportional to 787,086.75 and 1,668,758.25 is: 3,538,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,086.75 : 1,668,758.25 = 1,668,758.25 : x
  2. Step 2: Convert to fraction form
    787,086.75/1,668,758.25 = 1,668,758.25/x
  3. Step 3: Cross multiply
    787,086.75x = 1,668,758.25 × 1,668,758.25
  4. Step 4: Simplify right side
    787,086.75x = 2,784,754,096,943.06
  5. Step 5: Solve for x
    x = 2,784,754,096,943.06/787,086.75
  6. Step 6: Final answer
    x = 3,538,052.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.