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Finding the Third Proportional to 674,493 and 1,445,138.25

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Solution

The third proportional to 674,493 and 1,445,138.25 is: 3,096,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,493 : 1,445,138.25 = 1,445,138.25 : x
  2. Step 2: Convert to fraction form
    674,493/1,445,138.25 = 1,445,138.25/x
  3. Step 3: Cross multiply
    674,493x = 1,445,138.25 × 1,445,138.25
  4. Step 4: Simplify right side
    674,493x = 2,088,424,561,613.06
  5. Step 5: Solve for x
    x = 2,088,424,561,613.06/674,493
  6. Step 6: Final answer
    x = 3,096,287.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.