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Finding the Third Proportional to 804,673 and 1,674,812

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Solution

The third proportional to 804,673 and 1,674,812 is: 3,485,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,673 : 1,674,812 = 1,674,812 : x
  2. Step 2: Convert to fraction form
    804,673/1,674,812 = 1,674,812/x
  3. Step 3: Cross multiply
    804,673x = 1,674,812 × 1,674,812
  4. Step 4: Simplify right side
    804,673x = 2,804,995,235,344
  5. Step 5: Solve for x
    x = 2,804,995,235,344/804,673
  6. Step 6: Final answer
    x = 3,485,882.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.