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Finding the Third Proportional to 906,198 and 1,439,649

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Solution

The third proportional to 906,198 and 1,439,649 is: 2,287,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,198 : 1,439,649 = 1,439,649 : x
  2. Step 2: Convert to fraction form
    906,198/1,439,649 = 1,439,649/x
  3. Step 3: Cross multiply
    906,198x = 1,439,649 × 1,439,649
  4. Step 4: Simplify right side
    906,198x = 2,072,589,243,201
  5. Step 5: Solve for x
    x = 2,072,589,243,201/906,198
  6. Step 6: Final answer
    x = 2,287,126.26

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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.