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Finding the Third Proportional to 551,716 and 1,182,176

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Solution

The third proportional to 551,716 and 1,182,176 is: 2,533,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,716 : 1,182,176 = 1,182,176 : x
  2. Step 2: Convert to fraction form
    551,716/1,182,176 = 1,182,176/x
  3. Step 3: Cross multiply
    551,716x = 1,182,176 × 1,182,176
  4. Step 4: Simplify right side
    551,716x = 1,397,540,094,976
  5. Step 5: Solve for x
    x = 1,397,540,094,976/551,716
  6. Step 6: Final answer
    x = 2,533,078.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.