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Finding the Third Proportional to 585,188 and 1,259,176

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Solution

The third proportional to 585,188 and 1,259,176 is: 2,709,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,188 : 1,259,176 = 1,259,176 : x
  2. Step 2: Convert to fraction form
    585,188/1,259,176 = 1,259,176/x
  3. Step 3: Cross multiply
    585,188x = 1,259,176 × 1,259,176
  4. Step 4: Simplify right side
    585,188x = 1,585,524,198,976
  5. Step 5: Solve for x
    x = 1,585,524,198,976/585,188
  6. Step 6: Final answer
    x = 2,709,427.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.