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Finding the Third Proportional to 1,728,411.75 and 2,489,838.75

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Solution

The third proportional to 1,728,411.75 and 2,489,838.75 is: 3,586,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,411.75 : 2,489,838.75 = 2,489,838.75 : x
  2. Step 2: Convert to fraction form
    1,728,411.75/2,489,838.75 = 2,489,838.75/x
  3. Step 3: Cross multiply
    1,728,411.75x = 2,489,838.75 × 2,489,838.75
  4. Step 4: Simplify right side
    1,728,411.75x = 6,199,297,001,001.56
  5. Step 5: Solve for x
    x = 6,199,297,001,001.56/1,728,411.75
  6. Step 6: Final answer
    x = 3,586,701.49

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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.