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Finding the Third Proportional to 686,826 and 1,504,872

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Solution

The third proportional to 686,826 and 1,504,872 is: 3,297,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,826 : 1,504,872 = 1,504,872 : x
  2. Step 2: Convert to fraction form
    686,826/1,504,872 = 1,504,872/x
  3. Step 3: Cross multiply
    686,826x = 1,504,872 × 1,504,872
  4. Step 4: Simplify right side
    686,826x = 2,264,639,736,384
  5. Step 5: Solve for x
    x = 2,264,639,736,384/686,826
  6. Step 6: Final answer
    x = 3,297,253.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.