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Finding the Third Proportional to 962,419 and 1,287,906

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Solution

The third proportional to 962,419 and 1,287,906 is: 1,723,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,419 : 1,287,906 = 1,287,906 : x
  2. Step 2: Convert to fraction form
    962,419/1,287,906 = 1,287,906/x
  3. Step 3: Cross multiply
    962,419x = 1,287,906 × 1,287,906
  4. Step 4: Simplify right side
    962,419x = 1,658,701,864,836
  5. Step 5: Solve for x
    x = 1,658,701,864,836/962,419
  6. Step 6: Final answer
    x = 1,723,471.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.