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Finding the Third Proportional to 747,671 and 1,640,093

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Solution

The third proportional to 747,671 and 1,640,093 is: 3,597,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,671 : 1,640,093 = 1,640,093 : x
  2. Step 2: Convert to fraction form
    747,671/1,640,093 = 1,640,093/x
  3. Step 3: Cross multiply
    747,671x = 1,640,093 × 1,640,093
  4. Step 4: Simplify right side
    747,671x = 2,689,905,048,649
  5. Step 5: Solve for x
    x = 2,689,905,048,649/747,671
  6. Step 6: Final answer
    x = 3,597,712.16

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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.