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Finding the Third Proportional to 2,616,563.25 and 3,838,731.75

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Solution

The third proportional to 2,616,563.25 and 3,838,731.75 is: 5,631,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,563.25 : 3,838,731.75 = 3,838,731.75 : x
  2. Step 2: Convert to fraction form
    2,616,563.25/3,838,731.75 = 3,838,731.75/x
  3. Step 3: Cross multiply
    2,616,563.25x = 3,838,731.75 × 3,838,731.75
  4. Step 4: Simplify right side
    2,616,563.25x = 14,735,861,448,458.06
  5. Step 5: Solve for x
    x = 14,735,861,448,458.06/2,616,563.25
  6. Step 6: Final answer
    x = 5,631,761.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.