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Finding the Third Proportional to 664,870 and 968,236

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Solution

The third proportional to 664,870 and 968,236 is: 1,410,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,870 : 968,236 = 968,236 : x
  2. Step 2: Convert to fraction form
    664,870/968,236 = 968,236/x
  3. Step 3: Cross multiply
    664,870x = 968,236 × 968,236
  4. Step 4: Simplify right side
    664,870x = 937,480,951,696
  5. Step 5: Solve for x
    x = 937,480,951,696/664,870
  6. Step 6: Final answer
    x = 1,410,021.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.