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Finding the Third Proportional to 674,541 and 1,436,474.25

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Solution

The third proportional to 674,541 and 1,436,474.25 is: 3,059,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,541 : 1,436,474.25 = 1,436,474.25 : x
  2. Step 2: Convert to fraction form
    674,541/1,436,474.25 = 1,436,474.25/x
  3. Step 3: Cross multiply
    674,541x = 1,436,474.25 × 1,436,474.25
  4. Step 4: Simplify right side
    674,541x = 2,063,458,270,913.06
  5. Step 5: Solve for x
    x = 2,063,458,270,913.06/674,541
  6. Step 6: Final answer
    x = 3,059,055.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.