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Finding the Third Proportional to 804,864 and 1,749,504

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Solution

The third proportional to 804,864 and 1,749,504 is: 3,802,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,864 : 1,749,504 = 1,749,504 : x
  2. Step 2: Convert to fraction form
    804,864/1,749,504 = 1,749,504/x
  3. Step 3: Cross multiply
    804,864x = 1,749,504 × 1,749,504
  4. Step 4: Simplify right side
    804,864x = 3,060,764,246,016
  5. Step 5: Solve for x
    x = 3,060,764,246,016/804,864
  6. Step 6: Final answer
    x = 3,802,834.08

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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.