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Finding the Third Proportional to 1,176,180 and 1,656,268

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Solution

The third proportional to 1,176,180 and 1,656,268 is: 2,332,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,180 : 1,656,268 = 1,656,268 : x
  2. Step 2: Convert to fraction form
    1,176,180/1,656,268 = 1,656,268/x
  3. Step 3: Cross multiply
    1,176,180x = 1,656,268 × 1,656,268
  4. Step 4: Simplify right side
    1,176,180x = 2,743,223,687,824
  5. Step 5: Solve for x
    x = 2,743,223,687,824/1,176,180
  6. Step 6: Final answer
    x = 2,332,316.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.