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Finding the Third Proportional to 743,198 and 1,628,792

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Solution

The third proportional to 743,198 and 1,628,792 is: 3,569,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,198 : 1,628,792 = 1,628,792 : x
  2. Step 2: Convert to fraction form
    743,198/1,628,792 = 1,628,792/x
  3. Step 3: Cross multiply
    743,198x = 1,628,792 × 1,628,792
  4. Step 4: Simplify right side
    743,198x = 2,652,963,379,264
  5. Step 5: Solve for x
    x = 2,652,963,379,264/743,198
  6. Step 6: Final answer
    x = 3,569,658.93

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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.