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Finding the Third Proportional to 747,683 and 1,640,108

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Solution

The third proportional to 747,683 and 1,640,108 is: 3,597,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,683 : 1,640,108 = 1,640,108 : x
  2. Step 2: Convert to fraction form
    747,683/1,640,108 = 1,640,108/x
  3. Step 3: Cross multiply
    747,683x = 1,640,108 × 1,640,108
  4. Step 4: Simplify right side
    747,683x = 2,689,954,251,664
  5. Step 5: Solve for x
    x = 2,689,954,251,664/747,683
  6. Step 6: Final answer
    x = 3,597,720.23

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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.