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Finding the Third Proportional to 404,036 and 878,812

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Solution

The third proportional to 404,036 and 878,812 is: 1,911,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,036 : 878,812 = 878,812 : x
  2. Step 2: Convert to fraction form
    404,036/878,812 = 878,812/x
  3. Step 3: Cross multiply
    404,036x = 878,812 × 878,812
  4. Step 4: Simplify right side
    404,036x = 772,310,531,344
  5. Step 5: Solve for x
    x = 772,310,531,344/404,036
  6. Step 6: Final answer
    x = 1,911,489.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.