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Finding the Third Proportional to 587,968 and 1,288,034

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Solution

The third proportional to 587,968 and 1,288,034 is: 2,821,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,968 : 1,288,034 = 1,288,034 : x
  2. Step 2: Convert to fraction form
    587,968/1,288,034 = 1,288,034/x
  3. Step 3: Cross multiply
    587,968x = 1,288,034 × 1,288,034
  4. Step 4: Simplify right side
    587,968x = 1,659,031,585,156
  5. Step 5: Solve for x
    x = 1,659,031,585,156/587,968
  6. Step 6: Final answer
    x = 2,821,635.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.