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Finding the Third Proportional to 796,092 and 1,193,646

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Solution

The third proportional to 796,092 and 1,193,646 is: 1,789,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,092 : 1,193,646 = 1,193,646 : x
  2. Step 2: Convert to fraction form
    796,092/1,193,646 = 1,193,646/x
  3. Step 3: Cross multiply
    796,092x = 1,193,646 × 1,193,646
  4. Step 4: Simplify right side
    796,092x = 1,424,790,773,316
  5. Step 5: Solve for x
    x = 1,424,790,773,316/796,092
  6. Step 6: Final answer
    x = 1,789,731.30

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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.