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Finding the Third Proportional to 599,166 and 1,304,136

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Solution

The third proportional to 599,166 and 1,304,136 is: 2,838,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,166 : 1,304,136 = 1,304,136 : x
  2. Step 2: Convert to fraction form
    599,166/1,304,136 = 1,304,136/x
  3. Step 3: Cross multiply
    599,166x = 1,304,136 × 1,304,136
  4. Step 4: Simplify right side
    599,166x = 1,700,770,706,496
  5. Step 5: Solve for x
    x = 1,700,770,706,496/599,166
  6. Step 6: Final answer
    x = 2,838,563.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.