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Finding the Third Proportional to 861,974.25 and 1,813,278

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Solution

The third proportional to 861,974.25 and 1,813,278 is: 3,814,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,974.25 : 1,813,278 = 1,813,278 : x
  2. Step 2: Convert to fraction form
    861,974.25/1,813,278 = 1,813,278/x
  3. Step 3: Cross multiply
    861,974.25x = 1,813,278 × 1,813,278
  4. Step 4: Simplify right side
    861,974.25x = 3,287,977,105,284
  5. Step 5: Solve for x
    x = 3,287,977,105,284/861,974.25
  6. Step 6: Final answer
    x = 3,814,472.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.