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Finding the Third Proportional to 627,136 and 925,941

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Solution

The third proportional to 627,136 and 925,941 is: 1,367,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,136 : 925,941 = 925,941 : x
  2. Step 2: Convert to fraction form
    627,136/925,941 = 925,941/x
  3. Step 3: Cross multiply
    627,136x = 925,941 × 925,941
  4. Step 4: Simplify right side
    627,136x = 857,366,735,481
  5. Step 5: Solve for x
    x = 857,366,735,481/627,136
  6. Step 6: Final answer
    x = 1,367,114.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.