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Finding the Third Proportional to 804,576 and 1,192,941

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Solution

The third proportional to 804,576 and 1,192,941 is: 1,768,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,576 : 1,192,941 = 1,192,941 : x
  2. Step 2: Convert to fraction form
    804,576/1,192,941 = 1,192,941/x
  3. Step 3: Cross multiply
    804,576x = 1,192,941 × 1,192,941
  4. Step 4: Simplify right side
    804,576x = 1,423,108,229,481
  5. Step 5: Solve for x
    x = 1,423,108,229,481/804,576
  6. Step 6: Final answer
    x = 1,768,767.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.