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Finding the Third Proportional to 809,379 and 1,748,439

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Solution

The third proportional to 809,379 and 1,748,439 is: 3,777,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,379 : 1,748,439 = 1,748,439 : x
  2. Step 2: Convert to fraction form
    809,379/1,748,439 = 1,748,439/x
  3. Step 3: Cross multiply
    809,379x = 1,748,439 × 1,748,439
  4. Step 4: Simplify right side
    809,379x = 3,057,038,936,721
  5. Step 5: Solve for x
    x = 3,057,038,936,721/809,379
  6. Step 6: Final answer
    x = 3,777,017.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.