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Finding the Third Proportional to 804,595 and 1,726,019

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Solution

The third proportional to 804,595 and 1,726,019 is: 3,702,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,595 : 1,726,019 = 1,726,019 : x
  2. Step 2: Convert to fraction form
    804,595/1,726,019 = 1,726,019/x
  3. Step 3: Cross multiply
    804,595x = 1,726,019 × 1,726,019
  4. Step 4: Simplify right side
    804,595x = 2,979,141,588,361
  5. Step 5: Solve for x
    x = 2,979,141,588,361/804,595
  6. Step 6: Final answer
    x = 3,702,659.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.