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Finding the Third Proportional to 599,108 and 1,304,017

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Solution

The third proportional to 599,108 and 1,304,017 is: 2,838,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,108 : 1,304,017 = 1,304,017 : x
  2. Step 2: Convert to fraction form
    599,108/1,304,017 = 1,304,017/x
  3. Step 3: Cross multiply
    599,108x = 1,304,017 × 1,304,017
  4. Step 4: Simplify right side
    599,108x = 1,700,460,336,289
  5. Step 5: Solve for x
    x = 1,700,460,336,289/599,108
  6. Step 6: Final answer
    x = 2,838,320.20

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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.