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Finding the Third Proportional to 804,586 and 1,192,947

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Solution

The third proportional to 804,586 and 1,192,947 is: 1,768,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,586 : 1,192,947 = 1,192,947 : x
  2. Step 2: Convert to fraction form
    804,586/1,192,947 = 1,192,947/x
  3. Step 3: Cross multiply
    804,586x = 1,192,947 × 1,192,947
  4. Step 4: Simplify right side
    804,586x = 1,423,122,544,809
  5. Step 5: Solve for x
    x = 1,423,122,544,809/804,586
  6. Step 6: Final answer
    x = 1,768,763.74

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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.