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Finding the Third Proportional to 1,728,411.75 and 2,489,835.38

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Solution

The third proportional to 1,728,411.75 and 2,489,835.38 is: 3,586,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,411.75 : 2,489,835.38 = 2,489,835.38 : x
  2. Step 2: Convert to fraction form
    1,728,411.75/2,489,835.38 = 2,489,835.38/x
  3. Step 3: Cross multiply
    1,728,411.75x = 2,489,835.38 × 2,489,835.38
  4. Step 4: Simplify right side
    1,728,411.75x = 6,199,280,194,601.39
  5. Step 5: Solve for x
    x = 6,199,280,194,601.39/1,728,411.75
  6. Step 6: Final answer
    x = 3,586,691.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.