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Finding the Third Proportional to 804,598 and 1,192,965

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Solution

The third proportional to 804,598 and 1,192,965 is: 1,768,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,598 : 1,192,965 = 1,192,965 : x
  2. Step 2: Convert to fraction form
    804,598/1,192,965 = 1,192,965/x
  3. Step 3: Cross multiply
    804,598x = 1,192,965 × 1,192,965
  4. Step 4: Simplify right side
    804,598x = 1,423,165,491,225
  5. Step 5: Solve for x
    x = 1,423,165,491,225/804,598
  6. Step 6: Final answer
    x = 1,768,790.74

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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.