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Finding the Third Proportional to 599,178 and 1,304,151

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Solution

The third proportional to 599,178 and 1,304,151 is: 2,838,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,178 : 1,304,151 = 1,304,151 : x
  2. Step 2: Convert to fraction form
    599,178/1,304,151 = 1,304,151/x
  3. Step 3: Cross multiply
    599,178x = 1,304,151 × 1,304,151
  4. Step 4: Simplify right side
    599,178x = 1,700,809,830,801
  5. Step 5: Solve for x
    x = 1,700,809,830,801/599,178
  6. Step 6: Final answer
    x = 2,838,571.89

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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.