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Finding the Third Proportional to 906,180 and 1,439,622

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Solution

The third proportional to 906,180 and 1,439,622 is: 2,287,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,180 : 1,439,622 = 1,439,622 : x
  2. Step 2: Convert to fraction form
    906,180/1,439,622 = 1,439,622/x
  3. Step 3: Cross multiply
    906,180x = 1,439,622 × 1,439,622
  4. Step 4: Simplify right side
    906,180x = 2,072,511,502,884
  5. Step 5: Solve for x
    x = 2,072,511,502,884/906,180
  6. Step 6: Final answer
    x = 2,287,085.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.