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Finding the Third Proportional to 680,292 and 1,489,608

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Solution

The third proportional to 680,292 and 1,489,608 is: 3,261,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,292 : 1,489,608 = 1,489,608 : x
  2. Step 2: Convert to fraction form
    680,292/1,489,608 = 1,489,608/x
  3. Step 3: Cross multiply
    680,292x = 1,489,608 × 1,489,608
  4. Step 4: Simplify right side
    680,292x = 2,218,931,993,664
  5. Step 5: Solve for x
    x = 2,218,931,993,664/680,292
  6. Step 6: Final answer
    x = 3,261,734.66

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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.