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Finding the Third Proportional to 788,220 and 1,728,936

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Solution

The third proportional to 788,220 and 1,728,936 is: 3,792,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,220 : 1,728,936 = 1,728,936 : x
  2. Step 2: Convert to fraction form
    788,220/1,728,936 = 1,728,936/x
  3. Step 3: Cross multiply
    788,220x = 1,728,936 × 1,728,936
  4. Step 4: Simplify right side
    788,220x = 2,989,219,692,096
  5. Step 5: Solve for x
    x = 2,989,219,692,096/788,220
  6. Step 6: Final answer
    x = 3,792,367.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.