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Finding the Third Proportional to 686,834 and 1,504,888

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Solution

The third proportional to 686,834 and 1,504,888 is: 3,297,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,834 : 1,504,888 = 1,504,888 : x
  2. Step 2: Convert to fraction form
    686,834/1,504,888 = 1,504,888/x
  3. Step 3: Cross multiply
    686,834x = 1,504,888 × 1,504,888
  4. Step 4: Simplify right side
    686,834x = 2,264,687,892,544
  5. Step 5: Solve for x
    x = 2,264,687,892,544/686,834
  6. Step 6: Final answer
    x = 3,297,285.65

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Why These Related Problems?

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