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Finding the Third Proportional to 424,136 and 914,698

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Solution

The third proportional to 424,136 and 914,698 is: 1,972,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,136 : 914,698 = 914,698 : x
  2. Step 2: Convert to fraction form
    424,136/914,698 = 914,698/x
  3. Step 3: Cross multiply
    424,136x = 914,698 × 914,698
  4. Step 4: Simplify right side
    424,136x = 836,672,431,204
  5. Step 5: Solve for x
    x = 836,672,431,204/424,136
  6. Step 6: Final answer
    x = 1,972,651.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.