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Finding the Third Proportional to 804,578 and 1,192,942

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Solution

The third proportional to 804,578 and 1,192,942 is: 1,768,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,578 : 1,192,942 = 1,192,942 : x
  2. Step 2: Convert to fraction form
    804,578/1,192,942 = 1,192,942/x
  3. Step 3: Cross multiply
    804,578x = 1,192,942 × 1,192,942
  4. Step 4: Simplify right side
    804,578x = 1,423,110,615,364
  5. Step 5: Solve for x
    x = 1,423,110,615,364/804,578
  6. Step 6: Final answer
    x = 1,768,766.50

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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.