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Finding the Third Proportional to 749,389.22 and 1,640,455.03

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Solution

The third proportional to 749,389.22 and 1,640,455.03 is: 3,591,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,389.22 : 1,640,455.03 = 1,640,455.03 : x
  2. Step 2: Convert to fraction form
    749,389.22/1,640,455.03 = 1,640,455.03/x
  3. Step 3: Cross multiply
    749,389.22x = 1,640,455.03 × 1,640,455.03
  4. Step 4: Simplify right side
    749,389.22x = 2,691,092,709,553.44
  5. Step 5: Solve for x
    x = 2,691,092,709,553.44/749,389.22
  6. Step 6: Final answer
    x = 3,591,048.07

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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.