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Finding the Third Proportional to 688,096.69 and 1,489,593.38

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Solution

The third proportional to 688,096.69 and 1,489,593.38 is: 3,224,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,096.69 : 1,489,593.38 = 1,489,593.38 : x
  2. Step 2: Convert to fraction form
    688,096.69/1,489,593.38 = 1,489,593.38/x
  3. Step 3: Cross multiply
    688,096.69x = 1,489,593.38 × 1,489,593.38
  4. Step 4: Simplify right side
    688,096.69x = 2,218,888,422,843.89
  5. Step 5: Solve for x
    x = 2,218,888,422,843.89/688,096.69
  6. Step 6: Final answer
    x = 3,224,675.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.