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Finding the Third Proportional to 968,147 and 2,104,208

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Solution

The third proportional to 968,147 and 2,104,208 is: 4,573,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,147 : 2,104,208 = 2,104,208 : x
  2. Step 2: Convert to fraction form
    968,147/2,104,208 = 2,104,208/x
  3. Step 3: Cross multiply
    968,147x = 2,104,208 × 2,104,208
  4. Step 4: Simplify right side
    968,147x = 4,427,691,307,264
  5. Step 5: Solve for x
    x = 4,427,691,307,264/968,147
  6. Step 6: Final answer
    x = 4,573,366.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.