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Finding the Third Proportional to 658,581.75 and 1,368,828

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Solution

The third proportional to 658,581.75 and 1,368,828 is: 2,845,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,581.75 : 1,368,828 = 1,368,828 : x
  2. Step 2: Convert to fraction form
    658,581.75/1,368,828 = 1,368,828/x
  3. Step 3: Cross multiply
    658,581.75x = 1,368,828 × 1,368,828
  4. Step 4: Simplify right side
    658,581.75x = 1,873,690,093,584
  5. Step 5: Solve for x
    x = 1,873,690,093,584/658,581.75
  6. Step 6: Final answer
    x = 2,845,037.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.