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Finding the Third Proportional to 419,136 and 857,640

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Solution

The third proportional to 419,136 and 857,640 is: 1,754,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136 : 857,640 = 857,640 : x
  2. Step 2: Convert to fraction form
    419,136/857,640 = 857,640/x
  3. Step 3: Cross multiply
    419,136x = 857,640 × 857,640
  4. Step 4: Simplify right side
    419,136x = 735,546,369,600
  5. Step 5: Solve for x
    x = 735,546,369,600/419,136
  6. Step 6: Final answer
    x = 1,754,910.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.