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Finding the Third Proportional to 727,440.75 and 1,580,792.25

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Solution

The third proportional to 727,440.75 and 1,580,792.25 is: 3,435,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,440.75 : 1,580,792.25 = 1,580,792.25 : x
  2. Step 2: Convert to fraction form
    727,440.75/1,580,792.25 = 1,580,792.25/x
  3. Step 3: Cross multiply
    727,440.75x = 1,580,792.25 × 1,580,792.25
  4. Step 4: Simplify right side
    727,440.75x = 2,498,904,137,660.06
  5. Step 5: Solve for x
    x = 2,498,904,137,660.06/727,440.75
  6. Step 6: Final answer
    x = 3,435,199.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.