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Finding the Third Proportional to 739,843 and 1,002,594

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Solution

The third proportional to 739,843 and 1,002,594 is: 1,358,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,843 : 1,002,594 = 1,002,594 : x
  2. Step 2: Convert to fraction form
    739,843/1,002,594 = 1,002,594/x
  3. Step 3: Cross multiply
    739,843x = 1,002,594 × 1,002,594
  4. Step 4: Simplify right side
    739,843x = 1,005,194,728,836
  5. Step 5: Solve for x
    x = 1,005,194,728,836/739,843
  6. Step 6: Final answer
    x = 1,358,659.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.