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Finding the Third Proportional to 1,639,745.25 and 3,602,319.75

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Solution

The third proportional to 1,639,745.25 and 3,602,319.75 is: 7,913,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,745.25 : 3,602,319.75 = 3,602,319.75 : x
  2. Step 2: Convert to fraction form
    1,639,745.25/3,602,319.75 = 3,602,319.75/x
  3. Step 3: Cross multiply
    1,639,745.25x = 3,602,319.75 × 3,602,319.75
  4. Step 4: Simplify right side
    1,639,745.25x = 12,976,707,581,240.06
  5. Step 5: Solve for x
    x = 12,976,707,581,240.06/1,639,745.25
  6. Step 6: Final answer
    x = 7,913,855.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.