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Finding the Third Proportional to 832,192.50 and 1,792,939.50

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Solution

The third proportional to 832,192.50 and 1,792,939.50 is: 3,862,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,192.50 : 1,792,939.50 = 1,792,939.50 : x
  2. Step 2: Convert to fraction form
    832,192.50/1,792,939.50 = 1,792,939.50/x
  3. Step 3: Cross multiply
    832,192.50x = 1,792,939.50 × 1,792,939.50
  4. Step 4: Simplify right side
    832,192.50x = 3,214,632,050,660.25
  5. Step 5: Solve for x
    x = 3,214,632,050,660.25/832,192.50
  6. Step 6: Final answer
    x = 3,862,846.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.