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Finding the Third Proportional to 685,876 and 1,068,078

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Solution

The third proportional to 685,876 and 1,068,078 is: 1,663,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,876 : 1,068,078 = 1,068,078 : x
  2. Step 2: Convert to fraction form
    685,876/1,068,078 = 1,068,078/x
  3. Step 3: Cross multiply
    685,876x = 1,068,078 × 1,068,078
  4. Step 4: Simplify right side
    685,876x = 1,140,790,614,084
  5. Step 5: Solve for x
    x = 1,140,790,614,084/685,876
  6. Step 6: Final answer
    x = 1,663,260.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.