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Finding the Third Proportional to 664,856 and 1,368,916

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Solution

The third proportional to 664,856 and 1,368,916 is: 2,818,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,856 : 1,368,916 = 1,368,916 : x
  2. Step 2: Convert to fraction form
    664,856/1,368,916 = 1,368,916/x
  3. Step 3: Cross multiply
    664,856x = 1,368,916 × 1,368,916
  4. Step 4: Simplify right side
    664,856x = 1,873,931,015,056
  5. Step 5: Solve for x
    x = 1,873,931,015,056/664,856
  6. Step 6: Final answer
    x = 2,818,551.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.