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Finding the Third Proportional to 748,861.88 and 1,640,270.25

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Solution

The third proportional to 748,861.88 and 1,640,270.25 is: 3,592,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,861.88 : 1,640,270.25 = 1,640,270.25 : x
  2. Step 2: Convert to fraction form
    748,861.88/1,640,270.25 = 1,640,270.25/x
  3. Step 3: Cross multiply
    748,861.88x = 1,640,270.25 × 1,640,270.25
  4. Step 4: Simplify right side
    748,861.88x = 2,690,486,493,035.06
  5. Step 5: Solve for x
    x = 2,690,486,493,035.06/748,861.88
  6. Step 6: Final answer
    x = 3,592,767.35

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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.