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Finding the Third Proportional to 852,737.44 and 1,277,792.25

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Solution

The third proportional to 852,737.44 and 1,277,792.25 is: 1,914,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,737.44 : 1,277,792.25 = 1,277,792.25 : x
  2. Step 2: Convert to fraction form
    852,737.44/1,277,792.25 = 1,277,792.25/x
  3. Step 3: Cross multiply
    852,737.44x = 1,277,792.25 × 1,277,792.25
  4. Step 4: Simplify right side
    852,737.44x = 1,632,753,034,160.06
  5. Step 5: Solve for x
    x = 1,632,753,034,160.06/852,737.44
  6. Step 6: Final answer
    x = 1,914,719.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.