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Finding the Third Proportional to 861,012 and 1,792,835

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Solution

The third proportional to 861,012 and 1,792,835 is: 3,733,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,012 : 1,792,835 = 1,792,835 : x
  2. Step 2: Convert to fraction form
    861,012/1,792,835 = 1,792,835/x
  3. Step 3: Cross multiply
    861,012x = 1,792,835 × 1,792,835
  4. Step 4: Simplify right side
    861,012x = 3,214,257,337,225
  5. Step 5: Solve for x
    x = 3,214,257,337,225/861,012
  6. Step 6: Final answer
    x = 3,733,115.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.