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Finding the Third Proportional to 804,578 and 1,192,940

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Solution

The third proportional to 804,578 and 1,192,940 is: 1,768,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,578 : 1,192,940 = 1,192,940 : x
  2. Step 2: Convert to fraction form
    804,578/1,192,940 = 1,192,940/x
  3. Step 3: Cross multiply
    804,578x = 1,192,940 × 1,192,940
  4. Step 4: Simplify right side
    804,578x = 1,423,105,843,600
  5. Step 5: Solve for x
    x = 1,423,105,843,600/804,578
  6. Step 6: Final answer
    x = 1,768,760.57

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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.