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Finding the Third Proportional to 455,214.94 and 984,241.13

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Solution

The third proportional to 455,214.94 and 984,241.13 is: 2,128,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,214.94 : 984,241.13 = 984,241.13 : x
  2. Step 2: Convert to fraction form
    455,214.94/984,241.13 = 984,241.13/x
  3. Step 3: Cross multiply
    455,214.94x = 984,241.13 × 984,241.13
  4. Step 4: Simplify right side
    455,214.94x = 968,730,592,141.27
  5. Step 5: Solve for x
    x = 968,730,592,141.27/455,214.94
  6. Step 6: Final answer
    x = 2,128,072.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.