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Finding the Third Proportional to 451,377 and 983,724.75

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Solution

The third proportional to 451,377 and 983,724.75 is: 2,143,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,377 : 983,724.75 = 983,724.75 : x
  2. Step 2: Convert to fraction form
    451,377/983,724.75 = 983,724.75/x
  3. Step 3: Cross multiply
    451,377x = 983,724.75 × 983,724.75
  4. Step 4: Simplify right side
    451,377x = 967,714,383,762.56
  5. Step 5: Solve for x
    x = 967,714,383,762.56/451,377
  6. Step 6: Final answer
    x = 2,143,916.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.