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Finding the Third Proportional to 809,834 and 1,874,817

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Solution

The third proportional to 809,834 and 1,874,817 is: 4,340,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,834 : 1,874,817 = 1,874,817 : x
  2. Step 2: Convert to fraction form
    809,834/1,874,817 = 1,874,817/x
  3. Step 3: Cross multiply
    809,834x = 1,874,817 × 1,874,817
  4. Step 4: Simplify right side
    809,834x = 3,514,938,783,489
  5. Step 5: Solve for x
    x = 3,514,938,783,489/809,834
  6. Step 6: Final answer
    x = 4,340,320.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.