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Finding the Third Proportional to 793,793 and 1,192,476

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Solution

The third proportional to 793,793 and 1,192,476 is: 1,791,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,793 : 1,192,476 = 1,192,476 : x
  2. Step 2: Convert to fraction form
    793,793/1,192,476 = 1,192,476/x
  3. Step 3: Cross multiply
    793,793x = 1,192,476 × 1,192,476
  4. Step 4: Simplify right side
    793,793x = 1,421,999,010,576
  5. Step 5: Solve for x
    x = 1,421,999,010,576/793,793
  6. Step 6: Final answer
    x = 1,791,397.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.