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Finding the Third Proportional to 827,084 and 1,264,958

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Solution

The third proportional to 827,084 and 1,264,958 is: 1,934,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,084 : 1,264,958 = 1,264,958 : x
  2. Step 2: Convert to fraction form
    827,084/1,264,958 = 1,264,958/x
  3. Step 3: Cross multiply
    827,084x = 1,264,958 × 1,264,958
  4. Step 4: Simplify right side
    827,084x = 1,600,118,741,764
  5. Step 5: Solve for x
    x = 1,600,118,741,764/827,084
  6. Step 6: Final answer
    x = 1,934,650.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.