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Finding the Third Proportional to 800,298 and 1,733,460

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Solution

The third proportional to 800,298 and 1,733,460 is: 3,754,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,298 : 1,733,460 = 1,733,460 : x
  2. Step 2: Convert to fraction form
    800,298/1,733,460 = 1,733,460/x
  3. Step 3: Cross multiply
    800,298x = 1,733,460 × 1,733,460
  4. Step 4: Simplify right side
    800,298x = 3,004,883,571,600
  5. Step 5: Solve for x
    x = 3,004,883,571,600/800,298
  6. Step 6: Final answer
    x = 3,754,705.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.