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Finding the Third Proportional to 982,055.25 and 2,114,199

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Solution

The third proportional to 982,055.25 and 2,114,199 is: 4,551,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,055.25 : 2,114,199 = 2,114,199 : x
  2. Step 2: Convert to fraction form
    982,055.25/2,114,199 = 2,114,199/x
  3. Step 3: Cross multiply
    982,055.25x = 2,114,199 × 2,114,199
  4. Step 4: Simplify right side
    982,055.25x = 4,469,837,411,601
  5. Step 5: Solve for x
    x = 4,469,837,411,601/982,055.25
  6. Step 6: Final answer
    x = 4,551,513.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.