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Finding the Third Proportional to 591,120 and 936,180

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Solution

The third proportional to 591,120 and 936,180 is: 1,482,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,120 : 936,180 = 936,180 : x
  2. Step 2: Convert to fraction form
    591,120/936,180 = 936,180/x
  3. Step 3: Cross multiply
    591,120x = 936,180 × 936,180
  4. Step 4: Simplify right side
    591,120x = 876,432,992,400
  5. Step 5: Solve for x
    x = 876,432,992,400/591,120
  6. Step 6: Final answer
    x = 1,482,665.10

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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.