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Finding the Third Proportional to 666,794 and 1,005,942

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Solution

The third proportional to 666,794 and 1,005,942 is: 1,517,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,794 : 1,005,942 = 1,005,942 : x
  2. Step 2: Convert to fraction form
    666,794/1,005,942 = 1,005,942/x
  3. Step 3: Cross multiply
    666,794x = 1,005,942 × 1,005,942
  4. Step 4: Simplify right side
    666,794x = 1,011,919,307,364
  5. Step 5: Solve for x
    x = 1,011,919,307,364/666,794
  6. Step 6: Final answer
    x = 1,517,589.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.