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Finding the Third Proportional to 638,043.75 and 1,380,813.75

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Solution

The third proportional to 638,043.75 and 1,380,813.75 is: 2,988,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,043.75 : 1,380,813.75 = 1,380,813.75 : x
  2. Step 2: Convert to fraction form
    638,043.75/1,380,813.75 = 1,380,813.75/x
  3. Step 3: Cross multiply
    638,043.75x = 1,380,813.75 × 1,380,813.75
  4. Step 4: Simplify right side
    638,043.75x = 1,906,646,612,189.06
  5. Step 5: Solve for x
    x = 1,906,646,612,189.06/638,043.75
  6. Step 6: Final answer
    x = 2,988,269.40

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Why These Related Problems?

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