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Finding the Third Proportional to 547,136 and 839,824

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Solution

The third proportional to 547,136 and 839,824 is: 1,289,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,136 : 839,824 = 839,824 : x
  2. Step 2: Convert to fraction form
    547,136/839,824 = 839,824/x
  3. Step 3: Cross multiply
    547,136x = 839,824 × 839,824
  4. Step 4: Simplify right side
    547,136x = 705,304,350,976
  5. Step 5: Solve for x
    x = 705,304,350,976/547,136
  6. Step 6: Final answer
    x = 1,289,084.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.