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Finding the Third Proportional to 591,142 and 936,204

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Solution

The third proportional to 591,142 and 936,204 is: 1,482,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,142 : 936,204 = 936,204 : x
  2. Step 2: Convert to fraction form
    591,142/936,204 = 936,204/x
  3. Step 3: Cross multiply
    591,142x = 936,204 × 936,204
  4. Step 4: Simplify right side
    591,142x = 876,477,929,616
  5. Step 5: Solve for x
    x = 876,477,929,616/591,142
  6. Step 6: Final answer
    x = 1,482,685.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.